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Water level before and after metling of ice cube

  1. Dec 13, 2016 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations
    Upthrust= weight of fluid displaced

    3. 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.
     
  2. jcsd
  3. Dec 13, 2016 #2

    FactChecker

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    This is not true. Water takes more volume in the ice form than in the liquid form.
     
  4. Dec 13, 2016 #3
    May I know why is the water level the same then?
     
  5. Dec 13, 2016 #4

    FactChecker

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    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.
     
  6. Dec 14, 2016 #5

    haruspex

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    You made a good start:
    What about when it has melted?
     
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