A problem by Soumo Mukherjee

Level pending

Ice cubes float in a glass, filled to the brim with water. Will the water spill over when the ice melts?

If your answer is 'yes' enter 1 (one).If your answer is 'no' enter 0 (zero).

Please mention your reasoning.


The answer is 0.

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1 solution

Christian Zinck
Dec 15, 2014

The water will not overflow. This is because the volume of the submerged parts of the ice cubes is exactly equal to the volume that they would occupy if they were water. Therefore, when the ice melts, the water level will remain at the brim of the glass.

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