Water level before and after metling of ice cube

AI Thread Summary
When an ice cube is placed in a glass of water, it displaces a volume of water equal to its weight due to buoyancy. As the ice melts, it converts to water, maintaining the same weight and thus displacing an equivalent volume of water. The misconception arises from the difference in volume between ice and liquid water; while ice occupies more volume, the displaced water volume remains constant. Therefore, the overall water level in the glass does not change after the ice melts. Understanding the principles of buoyancy and displacement clarifies why the water level remains the same.
wei1006
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Homework Statement


A big ice cube is placed in a small glass of water. The level of water in the glass is marked. When the ice cube melts completely,the overall water level will remain the same. Explain.

Homework Equations


Upthrust= weight of fluid displaced

The Attempt at a Solution


Since the ice floats,weight of fluid displaced is equal to the weight of ice itself. Since upthrust equals to weight of fluid displaced, it is equals to density of ice times volume of ice times gravitational force times area. Since the volume of ice is unchanged before and after melting, the water level remains the same.
 
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wei1006 said:
Since the volume of ice is unchanged before and after melting, the water level remains the same.
This is not true. Water takes more volume in the ice form than in the liquid form.
 
FactChecker said:
This is not true. Water takes more volume in the ice form than in the liquid form.
May I know why is the water level the same then?
 
wei1006 said:
May I know why is the water level the same then?
I can't answer a homework problem for you. Review the basic facts about ice floating in water and you will find the answer.

Maybe you are using the term "volume" wrong. In your solution, you refer to both volume and area.
 
wei1006 said:
May I know why is the water level the same then?
You made a good start:
wei1006 said:
Since the ice floats,weight of fluid displaced is equal to the weight of ice itself.
What about when it has melted?
 

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