A solid ice block (of any shape) is floating remaining in equilibrium in water. Some part of it is outside water because its density is less than the density of water. Prove that the level of water does not ascend or descend if the ice
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answer: suppose the ice cube were floating in mercury. Mercury is very dense, so the ice cube would make only a small dent in the mercury. But the fact that it is displacing even a little mercury means that the surface of the mercury is higher than it would have been before we dropped in the ice cube. After the ice cube melts, it will form a thin layer on top of the mercury. So the mercury will be back to being flat. It will be back to where it started before we dropped in the ice cube. So when the ice cube melts, the surface of the mercury goes down.
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