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Tested prompt · AI homework helper

Why ice floats: every AI model's reply, tested

We ran this everyday AI homework helper test input on all 19 models in llmwise, the way the tool runs it, and checked every reply the same way. Here's each one as it came, with whether it passed, what it cost and how long it took.

Based on 19 of our test runs on , through OpenRouter with the tool's own instructions and the app's settings. Updated .

Short answer

14 of 19 models passed this AI homework helper test input's check (key facts); GPT-6 Sol, GPT-6 Luna, Gemini 3.1 Pro, DeepSeek V4 Pro, and Mistral Large 4 didn't. The cheapest reply that passed was GLM 5.3 Flash's, at $0.00025; the fastest, GLM 5.3's in 2.3 s. The dearest reply, Claude Fable 5.1's, cost 247 times as much ($0.0611).

The prompt, as sent, and its check

Checked by key facts, the same way for every model.

Why ice floats (everyday)

Help me understand and answer this homework question. Explain the idea step by step, then give the answer. Explain it for a middle-school student.

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Why does ice float on water, when most solids sink in their own liquid?

Sent with the AI homework helper's own instructions as the system prompt, as a free run of the tool sends them.

The answer must state “less dense”, “hydrogen bond”, “expand”.

How the AI homework helper's test inputs are scored, with every model's results on all five.

Every model's result

All 19 models on this test input, in catalog order.

Every model's reply to “Why ice floats”
ModelResultCostTimeReply
Claude Fable 5.1AnthropicPassed: Stated all 3 facts with the section.$0.061117.0 s1,136 tokens
Claude Opus 5.5AnthropicPassed: Stated all 3 facts with the section.$0.026313.6 s1,092 tokens
Claude Sonnet 5.5AnthropicPassed: Stated all 3 facts with the section.$0.01068.4 s971 tokens
Claude Sonnet 5AnthropicPassed: Stated all 3 facts with the section.$0.009911.6 s906 tokens
Claude Haiku 5.5AnthropicPassed: Stated all 3 facts with the section.$0.000374.3 s651 tokens
Claude Haiku 4.5AnthropicPassed: Stated all 3 facts with the section.$0.00256.2 s435 tokens
GPT-6 AstraOpenAIPassed: Stated all 3 facts with the section.$0.00885.8 s285 tokens
GPT-6.1 SolOpenAIPassed: Stated all 3 facts with the section.$0.00154.5 s244 tokens
GPT-6 SolOpenAIFailed: missing "hydrogen bond".$0.00153.3 s175 tokens
GPT-6 LunaOpenAIFailed: missing "hydrogen bond".$0.0000774.0 s192 tokens
Gemini 3.1 Pro (preview)GoogleFailed: missing "hydrogen bond".$0.006810.1 s362 tokens
Gemini 3.8 FlashGooglePassed: Stated all 3 facts with the section.$0.000963.6 s443 tokens
DeepSeek V4.1 FlashDeepSeekPassed: Stated all 3 facts with the section.$0.00144.4 s427 tokens
DeepSeek V4 ProDeepSeekFailed: missing "hydrogen bond".$0.009220.2 s359 tokens
Grok 4.7xAIPassed: Stated all 3 facts with the section.$0.007815.8 s352 tokens
Kimi K3MoonshotPassed: Stated all 3 facts with the section.$0.005910.4 s531 tokens
GLM 5.3Z.aiPassed: Stated all 3 facts with the section.$0.00222.3 s440 tokens
GLM 5.3 FlashZ.aiPassed: Stated all 3 facts with the section.$0.000256.4 s395 tokens
Mistral Large 4MistralFailed: missing "hydrogen bond".$0.004517.9 s266 tokens

Cost: what OpenRouter charged us for the reply. Time: from sending to the whole reply. Reply: its length in tokens, thinking not counted. In llmwise you pay per message, not per token: each of these replies counted as one message on Pro.

Every reply

The 5 replies that failed first, then the ones that passed, from the cheapest up.

  1. GPT-6 Luna

    Failed: missing "hydrogen bond".

    The question is asking why frozen water stays on top of liquid water, even though many solids are denser than their melted form. The key idea is that ice and liquid water have different densities.
    
    1. Density tells us how much matter is packed into a certain amount of space. A less-dense object floats in a denser liquid.
    
    2. When water freezes, its molecules arrange themselves into a stable, open pattern. This pattern takes up more space than the same amount of liquid water.
    
    3. Because the water spreads out into more space, ice is less dense than liquid water. So the water pushes up on the ice enough to keep it floating.
    
    Many substances do the opposite: their particles pack more tightly when they freeze, making the solid denser than the liquid.
    
    Final answer: Ice floats because it is less dense than liquid water. When water freezes, its molecules form an open structure that takes up more space.

    328 tokens in, 241 out (49 of them reasoning) · 4.0 s · $0.0001 · 1 message on Pro · answered by openai/gpt-6-luna via OpenAI ·

  2. GPT-6 Sol

    Failed: missing "hydrogen bond".

    The question is asking what makes frozen water different from most frozen liquids. The key idea is density: how much matter is packed into a certain amount of space.
    
    1. An object floats if it is less dense than the liquid around it. Most solids are packed more tightly than their liquids, so they are denser and sink.
    
    2. Water behaves differently when it freezes. Its molecules arrange themselves in a crystal pattern that holds them farther apart than they are in liquid water.
    
    3. The same amount of water therefore takes up more space as ice. That makes ice less dense than liquid water, so it floats.
    
    For example, if you fill a container completely with water and freeze it, the ice expands because its molecules have spread farther apart.
    
    Ice floats because freezing makes water expand, leaving its molecules less tightly packed than those in liquid water.

    328 tokens in, 244 out (69 of them reasoning) · 3.3 s · $0.0015 · 1 message on Pro · answered by openai/gpt-6-sol via OpenAI ·

  3. Mistral Large 4

    Failed: missing "hydrogen bond".

    This question is asking why frozen water sits on top of liquid water instead of sinking like most solids do, and it is really about comparing how tightly packed the molecules are in ice versus liquid water.
    
    Here is the step-by-step idea:
    
    1. Start with density. Density is how much mass is packed into a certain amount of space. If something is less dense than the liquid around it, it floats. If it is more dense, it sinks.
    
    2. Think about what usually happens when things freeze. In most liquids, when the temperature drops, the tiny particles called molecules slow down and huddle together very tightly. This makes the solid form heavier for its size, so it sinks in its own liquid.
    
    3. Notice that water is different. Water molecules are shaped like a boomerang or the letter V. When water freezes, these V-shaped molecules link together in a special open pattern, like a honeycomb or a snowflake, that actually pushes them farther apart than they were in the liquid state.
    
    4. Compare the space taken up. The same amount of water takes up more space as ice than it does as liquid. Because density equals mass divided by volume, and the volume got bigger while the mass stayed the same, the density went down.
    
    5. Apply the floating rule. Since ice is less dense than liquid water, it floats on top.
    
    Here is an example to help: Imagine you have a box of marbles. If you shake the box, the marbles pack down tight, like liquid water molecules huddled together. But ice is like arranging those same marbles in a loose circle with empty space in the middle. They take up more room, so the ice is lighter for its size.
    
    This matters in nature because lakes freeze from the top down. If ice sank, the whole lake would freeze solid in winter and kill the fish. Instead, the floating ice forms a blanket that keeps the water below warmer.
    
    Final answer: Ice floats on water because when water freezes, its molecules spread out into an open crystal structure that takes up more space, making ice less dense than liquid water.

    333 tokens in, 2,040 out (1,774 of them reasoning) · 17.9 s · $0.0045 · 1 message on Pro · answered by mistralai/mistral-large-4-0 via Mistral ·

  4. Gemini 3.1 Pro

    Failed: missing "hydrogen bond".

    This question is asking why solid water behaves differently than almost every other substance, and it wants you to explain the special way water molecules connect when they get cold. 
    
    Here is how to think about it step by step.
    
    1. First, you need to understand density. Density is just a fancy way of saying how tightly packed the stuff inside an object is. If you pack a lot of clothes into a suitcase, it is very heavy and dense. If you only put one shirt in the same suitcase, it is very light and less dense. Things that are denser than liquids will sink, and things that are less dense will float.
    
    2. Normally, when a liquid gets cold and turns into a solid, its tiny pieces (called molecules) lose energy and pack very tightly together. This makes the solid denser than the liquid. For example, if you drop a piece of solid candle wax into melted liquid wax, the solid piece will sink to the bottom because it is tightly packed.
    
    3. Water molecules are special. They are shaped a bit like the letter V, and they like to stick to each other in a specific way. 
    
    4. When water gets freezing cold to become ice, the molecules do not squish tightly together like wax does. Instead, they lock arms and arrange themselves into a special pattern called a crystal lattice. 
    
    5. This crystal pattern actually forces the water molecules to spread out, leaving a lot of empty space between them. Because the molecules in ice are spread further apart than they are in liquid water, the ice is less dense. Since it is less dense, it floats right on top.
    
    Final answer: Ice floats on water because its molecules form a crystal structure that pushes them further apart, making solid ice less dense than liquid water.

    338 tokens in, 1,081 out (719 of them reasoning) · 10.1 s · $0.0068 · 1 message on Pro · answered by google/gemini-3.1-pro-preview via Google AI Studio ·

  5. DeepSeek V4 Pro

    Failed: missing "hydrogen bond".

    This question is really asking you to compare how water freezes with how most other substances freeze, and to connect that to density.
    
    Step 1: Floating or sinking depends on density. Density is how much mass is packed into a certain amount of space. If an object is less dense than the liquid it is in, it floats. If it is more dense, it sinks.
    
    Step 2: For most substances, the solid form is denser than the liquid form. When a substance freezes, its particles usually pack more tightly together. More mass squeezed into the same space means higher density, so the solid sinks in its own melted liquid.
    
    Step 3: Water is unusual. In liquid water, the molecules move around and can pack fairly close together. But when water freezes, the water molecules lock into a fixed pattern with lots of gaps between them. This happens because water molecules form attractions that hold them in a kind of open, honeycomb-like shape.
    
    Step 4: Those gaps make ice take up more space than the same amount of liquid water. Since the mass is the same but the volume is larger, ice is less dense than liquid water. Ice is about 9 percent less dense than water.
    
    Step 5: Because ice is less dense than liquid water, it floats.
    
    A helpful way to picture it: imagine the same 20 pencils. If they are bundled tightly, they take up little space. If they are stacked in a loose frame with gaps, the same 20 pencils take up more space. The loose pile is less dense. Ice is like that loose pile compared with liquid water.
    
    So the answer is: ice floats because water expands when it freezes, forming a crystal structure with empty spaces that makes ice less dense than liquid water.

    329 tokens in, 2,263 out (1,904 of them reasoning) · 20.2 s · $0.0092 · 1 message on Pro · answered by deepseek/deepseek-v4-pro-0813 via Wafer ·

  6. GLM 5.3 Flash

    Passed: Stated all 3 facts with the section.

    This question is asking why ice is unusual: for almost every other substance, the solid form is denser than the liquid form and sinks, but ice floats on liquid water.
    
    Here's the idea, step by step:
    
    1. Whether something floats or sinks depends on density — how tightly packed the matter is in a given space. If a solid is denser than the liquid it's in, it sinks. If it's less dense, it floats.
    
    2. For most substances, when you cool them into a solid, the molecules slow down, pack closer together, and the solid becomes denser than the liquid. So solid chunks sink.
    
    3. Water is a weird exception. A water molecule is slightly "lopsided": the oxygen end is a bit negative and the hydrogen ends are a bit positive. Because of this, water molecules attract each other in a special way called hydrogen bonding.
    
    4. As water freezes, these hydrogen bonds push the molecules into a hexagonal (six-sided) crystal structure with lots of empty space inside — like a lattice that holds the molecules slightly farther apart than they were in liquid water.
    
    5. Because the same amount of water takes up more space when frozen, ice is less dense than liquid water (about 9% less dense). Less dense things float, so ice floats.
    
    Quick example: think of a structured scaffold vs. a jumbled pile of the same material — the scaffold has gaps, so the same amount of stuff takes up more room and is lighter for its size.
    
    Fun check: this is why ice cubes float in your drink, why lakes freeze from the top down (letting fish survive underneath), and why a full bottle of water left in the freezer can crack — the expanding ice needs more room.
    
    Final answer: Ice floats because, unlike most substances, water expands when it freezes — hydrogen bonds lock its molecules into an open crystal structure, making ice about 9% less dense than liquid water.

    335 tokens in, 395 out · 6.4 s · $0.0002 · 1 message on Pro · answered by z-ai/glm-5.3-flash via Friendli ·

  7. Claude Haiku 5.5

    Passed: Stated all 3 facts with the section.

    The question is asking why ice is less dense than liquid water, so it floats, even though most solids are denser than their liquid form and sink.
    
    Step 1: Know what "density" means. Density is how much stuff (mass) is packed into a given space (volume). A bowling ball is dense because a lot of mass fits in a small size. A foam cushion is not dense because it is mostly air.
    
    Step 2: Know the rule for floating. An object floats when it is less dense than the liquid it sits in. A cork floats in water because cork is less dense than water. A rock sinks because it is denser than water.
    
    Step 3: Think about what happens to most materials when they freeze. For most substances, the molecules pack closer together when they turn from liquid to solid. So the solid takes up less space for the same mass, which makes it denser, and it sinks in its own liquid. Iron, wax, and butter behave this way.
    
    Step 4: Look at water, which breaks the pattern. Water molecules form hydrogen bonds, which are weak attractions between molecules. When water freezes, these bonds lock the molecules into an open, six-sided lattice with a lot of empty space between them. The molecules end up farther apart than they were in liquid water.
    
    Step 5: Put it together. Ice takes up more space for the same mass, so it is less dense than liquid water. Because it is less dense, it floats. About nine percent of ice's volume sticks up above the surface.
    
    A simple example: take 100 grams of water and freeze it. You get about 100 grams of ice, but the ice takes up roughly 9 percent more room, so the ice cube is bigger than the water it came from, and it pops up out of the water in your glass.
    
    Why it matters: because ice floats, lakes freeze from the top down. The ice layer insulates the water below, so fish and other living things can survive winter underneath.
    
    Final answer: Ice floats because it is less dense than liquid water. Its water molecules form an open crystal structure held by hydrogen bonds, which takes up more space than the liquid does.

    434 tokens in, 651 out · 4.3 s · $0.0004 · 1 message on Pro · answered by anthropic/claude-haiku-5.5 via Anthropic ·

  8. Gemini 3.8 Flash

    Passed: Stated all 3 facts with the section.

    This question is asking why solid water (ice) is lighter than liquid water, which is unusual because most substances get heavier and pack more tightly when they freeze.
    
    Here is how it works, step by step:
    
    1. Understand density. Density is simply how tightly packed the "stuff" (molecules) inside an object is. If you have two boxes of the exact same size, and one is packed full of rocks while the other has only a few rocks, the tightly packed box is denser. In science, things that are less dense float on top of things that are more dense.
    
    2. Look at how most liquids freeze. For almost every other substance on Earth, getting colder makes the molecules slow down and huddle close together. Think of students crowding into a tight group when they feel cold outside. Because the molecules pack closer together, the solid becomes denser than the liquid, so the solid sinks.
    
    3. Look at what water does instead. Water molecules are special. Each water molecule is made of one oxygen atom and two hydrogen atoms (shaped a bit like Mickey Mouse's head). Because of the way these atoms share electrical charges, they stick to each other in a specific way called "hydrogen bonding." 
    
    4. See what happens when water freezes. As water cools down to freezing (0 degrees Celsius or 32 degrees Fahrenheit), the molecules slow down, but they cannot just crowd together randomly. Instead, their bonds force them to lock into a rigid, open, hexagon-shaped pattern, kind of like a honeycomb. 
    
    5. Compare the spacing. This honeycomb pattern actually holds the molecules farther apart than they were when they were sloshing around as a liquid. Because there is empty space trapped inside the crystal structure, ice expands. A cup of ice has fewer water molecules in it than a cup of liquid water. 
    
    Since the molecules in ice are spaced farther apart, ice has a lower density than liquid water, which causes it to float to the top.
    
    Final answer: Ice floats on water because its molecules form a rigid, open crystal structure as it freezes, which spreads the molecules farther apart and makes ice less dense than liquid water.

    338 tokens in, 443 out · 3.6 s · $0.0010 · 1 message on Pro · answered by google/gemini-3.8-flash via Google AI Studio ·

  9. DeepSeek V4.1 Flash

    Passed: Stated all 3 facts with the section.

    The question is asking why ice behaves unusually: in most substances, the solid form is denser than its own liquid and sinks, but ice is less dense than liquid water, so it floats.
    
    1. Floating depends on density. An object floats in a liquid if it is less dense than the liquid. Density means how much mass is packed into a given space. If the same volume of ice has less mass than that volume of water, ice floats.
    
    2. For most substances, freezing makes them denser. When a liquid freezes, its particles usually settle into a tight, close-packed pattern. The solid has particles closer together than the liquid, so it is denser and sinks.
    
    3. Water is special because of hydrogen bonds. A water molecule has a slight positive charge on one side and a slight negative charge on the other. These charges attract neighboring water molecules, forming hydrogen bonds.
    
    4. In ice, hydrogen bonds lock water molecules into an open, six-sided, cage-like pattern. That pattern has empty spaces inside it. The molecules are not packed as tightly as they could be.
    
    5. When ice melts, some of those hydrogen bonds break and re-form constantly. The molecules can slip past one another and pack more closely. So liquid water ends up denser than ice.
    
    6. Numbers help show it. Ice has a density of about 0.92 grams per cubic centimeter. Liquid water is about 1.00 grams per cubic centimeter. Since 0.92 is less than 1.00, ice floats. In fact, only about 92 percent of an ice cube sits below the water surface.
    
    A short example: if you fill a bottle to the very top with water and freeze it, the bottle can crack. That is because water expands when it freezes, making the ice take up more space for the same mass. That lower density is exactly why ice floats.
    
    Final answer: Ice floats because water molecules form an open, hydrogen-bonded crystal structure when they freeze, leaving empty spaces. That makes ice less dense than liquid water, so it floats instead of sinking.

    355 tokens in, 1,066 out (639 of them reasoning) · 4.4 s · $0.0014 · 1 message on Pro · answered by deepseek/deepseek-v4.1-flash via Together ·

  10. GPT-6.1 Sol

    Passed: Stated all 3 facts with the section.

    The question is asking why solid water (ice) is less dense than liquid water, even though most substances become denser when they freeze.
    
    1. Understand density.
    Density means how much mass is packed into a certain amount of space. An object floats if its average density is lower than the liquid’s density.
    
    2. Think about what usually happens when a liquid freezes.
    For most substances, the particles pack more closely together as they become solid. The same mass takes up less space, so its density increases. That is why most solids sink in their own liquid.
    
    3. Water freezes differently.
    Water is made of tiny particles called molecules. As water freezes, attractions called hydrogen bonds arrange the molecules into an open crystal pattern. This pattern leaves more space between molecules than there is in liquid water.
    
    4. Connect that extra space to floating.
    Because of those spaces, water expands when it freezes. The same mass takes up more room, making ice less dense than liquid water. For example, 100 grams of ice takes up more space than 100 grams of liquid water.
    
    Final answer: Ice floats because its molecules form an open crystal structure when water freezes, making ice less dense than liquid water.

    328 tokens in, 244 out · 4.5 s · $0.0015 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

  11. GLM 5.3

    Passed: Stated all 3 facts with the section.

    This question is asking why ice is an exception to the usual rule that a solid form of a substance is denser than its liquid form and therefore sinks. It's really about what happens to water molecules when they freeze.
    
    Here's the idea step by step:
    
    1. Whether something floats or sinks depends on density. A solid floats on its liquid only if the solid is less dense than the liquid. Most solids are denser than their liquid form, because molecules usually pack more tightly when frozen, so they sink.
    
    2. Water is unusual because of its shape and how its molecules attract each other. A water molecule is like a little bent magnet (a "V" shape), with a slightly positive end and a slightly negative end. This makes water molecules stick to each other in a special way called hydrogen bonding.
    
    3. When water is liquid, the molecules are close together but moving around, jumbled and tightly packed.
    
    4. When water freezes, the hydrogen bonds lock each molecule into a fixed position next to exactly four neighbors. This forces the molecules into an open, hexagonal (six-sided) arrangement with lots of empty space in the middle, like a honeycomb. It's a bit like students spreading out into assigned seats in a big grid instead of squeezing together.
    
    5. Because of all that empty space, the same number of molecules takes up more room when frozen. More space with the same mass means lower density. Ice is about 9% less dense than liquid water, so it floats, with roughly 90% below the surface and about 10% sticking up (think of an iceberg).
    
    6. As a bonus fact: this is why lakes freeze from the top down. Floating ice insulates the water below, which lets fish survive the winter.
    
    The answer: ice floats because freezing locks water molecules into an open, hexagonal crystal structure held by hydrogen bonds, which takes up more space than liquid water. Since the same mass occupies more volume, ice is less dense than water, and less dense things float.
    
    Final answer: Ice floats because its molecules spread into an open honeycomb-like crystal structure when they freeze, making ice less dense than liquid water.

    335 tokens in, 440 out · 2.3 s · $0.0022 · 1 message on Pro · answered by z-ai/glm-5.3 via Friendli ·

  12. Claude Haiku 4.5

    Passed: Stated all 3 facts with the section.

    What this question is really asking: Why is ice different from other solids? Most solids are denser (heavier for their size) than their liquid form, so they sink. But ice is less dense than liquid water, so it floats. Let's explore why.
    
    Here's the idea, step by step:
    
    1. Density determines floating and sinking. Density means how tightly packed the stuff is. If something is denser than water, it sinks. If it's less dense, it floats.
    
    2. What happens when water freezes. When most liquids freeze into solids, the molecules pack together more tightly, making the solid denser. You'd expect ice to be denser than water, so it should sink.
    
    3. Water is special. Water molecules are attracted to each other by something called hydrogen bonding. When water freezes, these bonds lock the molecules into a crystal pattern with lots of empty space between them. The molecules actually spread out a little bit instead of packing tighter.
    
    4. The result. Because of this crystal pattern, ice takes up more space than the same amount of liquid water. That means ice is less dense than water, so it floats.
    
    A simple example: Imagine packing marbles tightly in a box versus arranging them in a loose geometric pattern with gaps. The loose pattern takes up more space, even though you have the same number of marbles. That's similar to what happens with water molecules.
    
    Why this matters in nature: This is actually very important for life. Fish and other aquatic animals survive winter because ice floats on top of lakes and ponds, creating an insulating layer. If ice sank, ponds would freeze solid from the bottom up, and the animals inside would freeze too.
    
    Final answer: Ice floats on water because hydrogen bonding causes water molecules to form a crystal structure with more space between them when frozen, making ice less dense than liquid water, unlike most other solids which are denser than their liquids and therefore sink.

    347 tokens in, 435 out · 6.2 s · $0.0025 · 1 message on Pro · answered by anthropic/claude-haiku-4.5 via Anthropic ·

  13. Kimi K3

    Passed: Stated all 3 facts with the section.

    This question is really asking why solid water (ice) is less dense than liquid water, which is the opposite of what happens with almost every other substance.
    
    Step by step, here's the idea.
    
    1. First, remember what "floating" means. An object floats in a liquid if it is less dense than that liquid. Density means how much stuff (mass) is packed into a certain amount of space. A heavy metal ball sinks in water because it's denser than water; a wooden stick floats because it's less dense.
    
    2. In most substances, the particles (molecules or atoms) in the solid are packed closer together than in the liquid. When a solid melts, its particles wiggle around more and take up slightly more room, so the liquid is less dense than the solid. That's why a chunk of frozen wax, frozen metal, or frozen cooking oil sinks in its own melted liquid.
    
    3. Water is special because of how its molecules connect. A water molecule is like a tiny magnet: it has a slightly positive side and a slightly negative side. Nearby molecules link up through connections called hydrogen bonds.
    
    4. When water is liquid, the molecules jiggle around and these bonds keep breaking and reforming. The molecules can slide close together and pack fairly tightly.
    
    5. When water freezes, something surprising happens. The hydrogen bonds lock into a fixed pattern, arranging the molecules into an open, cage-like crystal with empty spaces in it. The molecules are actually held farther apart in the solid than they were in the liquid. It's a bit like building a house frame: the frame is mostly empty air inside, even though the wood pieces take up space.
    
    6. Because the same number of water molecules now take up more space, ice is less dense than liquid water — about 9 percent less dense. That's why ice floats, and also why about one-ninth of an iceberg pokes above the surface.
    
    7. A quick example you can try: fill a bottle completely with water and freeze it. The bottle bulges or cracks because the water expanded as it froze — proof that the molecules spread out when water becomes solid.
    
    So the answer is: ice floats because water molecules lock into an open crystal structure when they freeze, making ice less dense than liquid water, while most other substances become more tightly packed (denser) when they solidify.
    
    Final answer: Ice floats because water expands when it freezes — hydrogen bonds hold the molecules in an open, airy crystal pattern, so ice is less dense than liquid water, unlike most solids which are denser than their liquids.

    415 tokens in, 615 out (84 of them reasoning) · 10.4 s · $0.0059 · 1 message on Pro · answered by moonshotai/kimi-k3 via Wafer ·

  14. Grok 4.7

    Passed: Stated all 3 facts with the section.

    The question is really asking why solid ice is lighter for its size than liquid water, so it floats, even though most solids are heavier for their size than their own liquid and sink.
    
    Density means how much stuff is packed into a certain space. If an object is denser than the liquid around it, it sinks. If it is less dense, it floats. You can see this with a rock versus a piece of wood in a bowl of water.
    
    Most substances work the opposite of water. When they freeze, their particles slow down and pack closer together. The solid takes up less space than the same amount of liquid, so the solid is denser and sinks.
    
    Water is different because of the way its molecules stick to each other. A water molecule is shaped a bit like a wide V. The molecules attract one another through special weak links (often called hydrogen bonds).
    
    In liquid water, those links keep breaking and reforming. The molecules can slip past one another and stay fairly close together.
    
    When water freezes, the links lock the molecules into a rigid crystal pattern with open spaces between them, like a honeycomb. The same number of molecules now takes up more room. Ice is therefore less dense than liquid water, so ice floats.
    
    A simple picture: imagine people standing shoulder to shoulder in a crowd (liquid water). When they freeze into a dance formation that forces them to hold their arms out (ice), the group spreads out and becomes less crowded, even though it is the same people.
    
    That open structure is also why icebergs float with most of their bulk underwater, and why a lake can freeze on top while liquid water stays below and fish can survive.
    
    Final answer: ice floats because its open crystal structure makes it less dense than liquid water

    1,564 tokens in, 1,069 out (717 of them reasoning) · 15.8 s · $0.0078 · 1 message on Pro · answered by x-ai/grok-4.7 via xAI ·

  15. GPT-6 Astra

    Passed: Stated all 3 facts with the section.

    The question is asking why solid water (ice) is lighter for its size than liquid water, even though most substances become more tightly packed when they freeze.
    
    1. Floating depends on density.
    Density means how much mass is packed into a certain amount of space. Something less dense than the liquid around it floats; something more dense sinks. Ice floats because it is less dense than liquid water.
    
    2. Most substances pack more tightly when they freeze.
    Their particles settle into a solid arrangement that usually takes up less space than the liquid did. The same mass in less space means a higher density, so most solids sink in their own liquid.
    
    3. Water freezes into an unusually open structure.
    Water is made of tiny particles called molecules. Attractions called hydrogen bonds link these molecules. When water freezes, these bonds hold the molecules in an open crystal pattern with more empty space between them than in liquid water.
    
    4. More space makes ice less dense.
    The water molecules don’t get lighter or grow bigger. Instead, the same number of molecules takes up more space. For example, 100 grams of ice takes up more space than 100 grams of liquid water, even though they have the same mass.
    
    Final answer: Ice floats because hydrogen bonds arrange its water molecules into an open crystal structure, making it less dense than liquid water. Most solids have more tightly packed particles than their liquids, so they usually sink.

    328 tokens in, 285 out · 5.8 s · $0.0088 · 1 message on Pro · answered by openai/gpt-6-astra via OpenAI ·

  16. Claude Sonnet 5

    Passed: Stated all 3 facts with the section.

    What the question is really asking: it wants you to explain the special reason ice is lighter (less dense) than liquid water, even though almost every other solid is heavier (denser) than its own melted liquid form.
    
    Let's build this up step by step in plain language.
    
    Step 1: What "float" and "sink" really depend on
    Whether something floats or sinks depends on density — how much mass is packed into a given space. If a solid is denser (more tightly packed) than the liquid, it sinks. If it's less dense, it floats. Density = mass divided by volume.
    
    Step 2: What usually happens when liquids freeze
    In most substances, when a liquid cools and turns solid, the molecules slow down and pack closer together, tightly and neatly, like people squeezing onto a crowded bus. This makes the solid denser than the liquid, so the solid sinks in its own liquid.
    
    Step 3: Why water is different — the hydrogen bond structure
    Water molecules (H2O) are attracted to each other through something called hydrogen bonds. In liquid water, these molecules are moving around and bonds are constantly breaking and reforming, so molecules can slide close together.
    
    But when water freezes into ice, the molecules arrange themselves into a fixed, open hexagonal (six-sided) crystal structure. This structure is like a "cage" — it actually holds the molecules farther apart than they are in liquid water, not closer together.
    
    Step 4: Connecting structure to density
    Because the ice structure spreads molecules out into this open lattice, the same number of molecules takes up more space in ice than in liquid water. More space with the same mass means lower density. So ice ends up about 9% less dense than liquid water.
    
    Step 5: Putting it together
    Since ice is less dense than liquid water, it floats — unlike most solids, which pack tighter and sink.
    
    A simple example to picture it: imagine liquid water molecules as people randomly scattered and jostling close together in a room. When it freezes, imagine those same people suddenly holding hands in a fixed pattern that forces them to stand farther apart, like a big open net. Same number of people, but taking up more space — so they'd be "lighter" per square foot of floor space, like ice compared to water.
    
    This is actually really important for life on Earth: because ice floats, it forms an insulating layer on top of lakes and oceans in winter, letting liquid water (and fish) survive underneath instead of freezing solid from the bottom up.
    
    Final answer: Ice floats because when water freezes, its molecules form an open hexagonal crystal structure held together by hydrogen bonds, which spreads the molecules farther apart rather than packing them closer together. This makes ice about 9% less dense than liquid water, so unlike most solids (which pack tightly and sink), ice is less dense than its liquid form and floats.

    432 tokens in, 906 out · 11.6 s · $0.0099 · 1 message on Pro · answered by anthropic/claude-sonnet-5 via Anthropic ·

  17. Claude Sonnet 5.5

    Passed: Stated all 3 facts with the section.

    The question is asking why solid water (ice) is less dense than liquid water, so it floats, even though most other solids are denser than their liquids and sink.
    
    Step 1: Float or sink depends on density.
    Density is how much stuff (mass) is packed into a certain amount of space (volume). If something is less dense than the liquid around it, it floats. If it is more dense, it sinks. Think of a beach ball versus a rock: the ball has little mass for its size, so it floats.
    
    Step 2: Most materials get denser when they freeze.
    In most substances, the particles (tiny pieces called molecules) move around a lot in a liquid. When the liquid cools and freezes, the particles slow down and pack closer together into a tidy pattern. Closer packing means higher density, so the solid sinks in its own liquid.
    
    Step 3: Water is different because of how its molecules connect.
    A water molecule is made of one oxygen atom and two hydrogen atoms (H2O). Water molecules attract each other and form links called hydrogen bonds. These bonds are like tiny sticky connections between neighboring molecules.
    
    Step 4: In liquid water, molecules are close and jumbled.
    The molecules keep moving, and the hydrogen bonds constantly break and re-form. This lets the molecules crowd fairly close together.
    
    Step 5: In ice, the bonds lock the molecules into a fixed pattern.
    When water freezes, each molecule locks into a rigid, open, six-sided (hexagonal) arrangement. Because of the angles of the hydrogen bonds, this pattern has lots of empty space in it, like a building with big open rooms. The molecules are actually held slightly farther apart than in liquid water.
    
    Step 6: More space means lower density.
    The same number of molecules takes up about 9% more volume as ice. Same mass, more volume, so lower density. Ice is about 0.92 g/cm3, while liquid water is about 1.00 g/cm3. Since ice is less dense than the water around it, it floats, with about 90% of it below the surface.
    
    A short example: imagine 10 people standing in a crowded, jostling group (liquid water). Now ask them all to hold hands at arm's length in a neat ring pattern (ice). They take up more room, even though it is the same 10 people.
    
    Why this matters: because ice floats, lakes freeze from the top down. The ice layer acts like a blanket, and fish and other living things can survive in the liquid water underneath. If ice sank, lakes could freeze solid from the bottom up.
    
    Answer: Ice floats because water is unusual. When it freezes, its molecules form a hydrogen-bonded, open hexagonal structure that spaces them farther apart than in liquid water. This makes ice about 9% less dense than liquid water, so it floats, while most other solids are denser than their liquids and sink.
    
    Final answer: Ice floats because freezing makes water molecules lock into an open, spread-out pattern, making ice less dense than liquid water.

    434 tokens in, 971 out · 8.4 s · $0.0106 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·

  18. Claude Opus 5.5

    Passed: Stated all 3 facts with the section.

    The question is asking what makes ice different from most other solids. Usually when a liquid freezes, the solid is heavier for its size and sinks. With water, the solid (ice) floats. Why?
    
    The key idea is density. Density means how much "stuff" (mass) is packed into a certain amount of space. Something floats if it's less dense than the liquid around it, and it sinks if it's more dense.
    
    Here's how to work through it step by step.
    
    1. Understand what happens to most substances when they freeze.
    In a liquid, the tiny particles (molecules) slide around and bump into each other. When most liquids cool and freeze, the molecules slow down and pack closer together, like people squeezing tightly into a crowded elevator. More stuff in less space means the solid is denser than the liquid, so it sinks. Solid wax sinks in melted wax for this reason.
    
    2. Look at what makes water molecules special.
    A water molecule is H2O: one oxygen atom and two hydrogen atoms. The oxygen end is slightly negative and the hydrogen ends are slightly positive, a bit like tiny magnets. So the hydrogen of one water molecule is attracted to the oxygen of a neighbor. These attractions are called hydrogen bonds.
    
    3. See what happens when water freezes.
    In liquid water, hydrogen bonds keep breaking and re-forming as the molecules tumble around, so the molecules can crowd fairly close together. When water freezes, the hydrogen bonds lock the molecules into a fixed pattern. That pattern is a honeycomb-like shape with lots of open space inside it. The molecules end up held farther apart than they were in the liquid.
    
    A helpful picture: imagine a crowd of students standing close together in a hallway (liquid water). Now tell everyone to hold hands at arm's length and form a neat pattern of hexagons (ice). The same number of people now takes up more room.
    
    4. Connect it back to density.
    Because ice's structure has open spaces, the same amount of water takes up about 9% more space as ice. The mass stays the same, but the volume gets bigger, so the density goes down.
    Liquid water: about 1.00 gram per cubic centimeter
    Ice: about 0.92 grams per cubic centimeter
    Since ice is less dense than liquid water, it floats. That's also why about 90% of an iceberg sits below the surface and only about 10% sticks out.
    
    5. Why it matters (a nice extra for your answer).
    Because ice floats, lakes and ponds freeze from the top down. The ice layer on top acts like a blanket and keeps the water below from freezing solid, so fish and other living things can survive the winter. It's also why a full water bottle can crack in the freezer: the water expands as it turns to ice.
    
    Putting it all together, here's a sample answer you could write:
    
    Ice floats because it is less dense than liquid water. In most substances, molecules pack closer together when they freeze, so the solid is denser and sinks. Water is different because of hydrogen bonds. When water freezes, these bonds hold the molecules in an open, honeycomb-shaped pattern that keeps them farther apart than in the liquid. This makes ice take up about 9% more space than the same amount of liquid water, so ice has a lower density (about 0.92 g/cm³ compared with 1.00 g/cm³) and floats on top.

    434 tokens in, 1,229 out (137 of them reasoning) · 13.6 s · $0.0263 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Google ·

  19. Claude Fable 5.1

    Passed: Stated all 3 facts with the section.

    This question is asking you to explain a strange exception in nature: normally when a substance freezes, the solid is packed tighter and heavier than the liquid, so it sinks. Ice does the opposite, and the question wants to know what is special about water that makes this happen.
    
    Here is the idea, step by step.
    
    1. Start with what "float" really means. Something floats if it is less dense than the liquid it is in. Density is how much stuff is packed into a certain amount of space. A block of wood floats because a cup of wood weighs less than a cup of water. So the real question is: why is a cup of ice lighter than a cup of liquid water?
    
    2. Think about what usually happens when things freeze. In a liquid, the molecules slide around with some room between them. When most substances freeze, the molecules slow down and snuggle closer together, so the same number of molecules take up less space. That makes the solid denser, and it sinks in its own liquid. Solid wax sinks in melted wax, for example.
    
    3. Now look at what makes water different: the shape of the molecule. A water molecule is H2O, one oxygen atom with two hydrogen atoms attached, bent like a boomerang or Mickey Mouse ears. The oxygen end has a slight negative charge and the hydrogen ends have a slight positive charge. Because opposite charges attract, the hydrogen of one molecule is pulled toward the oxygen of a neighbor. This weak pull is called a hydrogen bond.
    
    4. See what those bonds do when water freezes. In liquid water, molecules are tumbling around, and the hydrogen bonds keep forming and breaking, so the molecules can crowd fairly close. When water freezes, the molecules stop tumbling and lock into a fixed pattern where each one holds hands with four neighbors at set angles. That pattern is a repeating hexagon (six-sided ring), like a honeycomb. Hexagons have open space in the middle. So ice is a rigid lattice full of tiny holes.
    
    5. Put it together. Because of those holes, the molecules in ice are actually held slightly farther apart than in liquid water. The same number of molecules take up about 9 percent more space. More space for the same weight means lower density. Ice is about 0.92 grams per cubic centimeter and liquid water is about 1.00, so ice floats with roughly 90 percent of it underwater and 10 percent above. That is the "tip of the iceberg."
    
    6. A quick example you can check at home: fill a plastic bottle almost full of water, mark the level, and freeze it. The ice will rise above the mark, and if the bottle is completely full it may even crack. That expansion is the same reason pipes burst in winter and the reason ice floats.
    
    Why it matters: because ice floats, lakes freeze from the top down instead of the bottom up. The ice layer acts like a lid that insulates the water below, so fish and other life survive the winter. If ice sank, lakes would freeze solid and much of life on Earth would have a very hard time.
    
    Answer: Ice floats because water molecules, when they freeze, lock into a hexagonal honeycomb pattern held together by hydrogen bonds. That pattern has open spaces in it, so the molecules end up farther apart than in liquid water. Ice is therefore less dense (about 0.92 g/cm³ versus 1.00 g/cm³ for water), and anything less dense than water floats on it. Most other solids sink because their molecules pack tighter when they freeze, making the solid denser than the liquid.

    434 tokens in, 1,136 out · 17.0 s · $0.0611 · 1 message on Pro · answered by anthropic/claude-fable-5.1 via Google ·

More AI homework helper test inputs

The other AI homework helper test inputs, each with every model's reply, and the results across all five.

Questions

Which AI does best on “Why ice floats”?

14 of 19 models passed this AI homework helper test input's check (key facts); GPT-6 Sol, GPT-6 Luna, Gemini 3.1 Pro, DeepSeek V4 Pro, and Mistral Large 4 didn't. The cheapest reply that passed was GLM 5.3 Flash's, at $0.00025; the fastest, GLM 5.3's in 2.3 s. The dearest reply, Claude Fable 5.1's, cost 247 times as much ($0.0611).

What does a reply to “Why ice floats” cost?

Through the models' APIs, what OpenRouter charged us ran from $0.000077 (GPT-6 Luna) to $0.0611 (Claude Fable 5.1) for this test input. The cheapest that passed was GLM 5.3 Flash's, $0.00025. In llmwise you don't pay by the token: a reply like these counts as one message on Pro, whichever model answers.

Claude, GPT, Gemini, DeepSeek, Grok, Kimi, GLM, and Mistral, in one chat.

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