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- May 20, 2008
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So the question that is tripping me up basically states
A cube of ice is floating in water. After the ice melts, the water level:
a. rises
b. falls
c. stays the same
Now the answer reasons that the ice cube displaces a volume of water equal to its own volume and that when it melts the water will "perfectly fill in" and thus the water level will stay constant.
Now I may be overthinking here, but isn't the ice LESS dense than the water so it actually takes up more volume in the ice form than it will in its water form after melting, thus meaning that the most correct answer to the question is that the water level falls after melting?
P.S. It isn't even true that the ice cube displaces a volume of water equal to its own volume right. It displaces a volume of water whose weight is equal to the weight of the ice cube, which is not the same thing since again the ice is less dense than water. Not sure how this plays into answering the question though...
A cube of ice is floating in water. After the ice melts, the water level:
a. rises
b. falls
c. stays the same
Now the answer reasons that the ice cube displaces a volume of water equal to its own volume and that when it melts the water will "perfectly fill in" and thus the water level will stay constant.
Now I may be overthinking here, but isn't the ice LESS dense than the water so it actually takes up more volume in the ice form than it will in its water form after melting, thus meaning that the most correct answer to the question is that the water level falls after melting?
P.S. It isn't even true that the ice cube displaces a volume of water equal to its own volume right. It displaces a volume of water whose weight is equal to the weight of the ice cube, which is not the same thing since again the ice is less dense than water. Not sure how this plays into answering the question though...