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I Like Math and Science

If you fill a glass with ice cubes to the top, then fill the same glass with water until one more drop and it will over flow. When the ice melts will the glass over flow the sides of the glass?
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Andromedanian · 22-25, M
I would say no, because it's still the same amount of H20, just changes from solid to liquid state, am I wrong? Hehe
@Andromedanian 1/2 right.

The water doesn't overflow, that's true.

But the it isn't the same quantity of water, even if you made an exact bit of ice which you could completely slide into the glass. Why? Well, see (for instance) @PhoenixPhail's answer, but you already know this.

Ask yourself if ice sinks or "swims"...?

It floats, right? So H2O is an oddball substance which EXPANDS when it freezes: a given mass of water goes UP in [u]volume[/u] when it freezes, so the [u]density[/u] (mass per unit volume) goes DOWN.

So the

(density of ice) < (density of liquid water)

which is why it floats.

AND why a glass even [u]completely[/u] full of ICE has FEWER H2O molecules than the [i]same[/i] glass when it is [u]completely[/u] full of liquid water.

It's a great question to make people think, and to which we all know the answer, if we just stop and think about a drink with ice.

Does that make sense?
turbineman40 · 80-89, M
@SomeMichGuy Makes complete sense to me
Well done explaination
@turbineman40 Why, thank you, asker of good questions!