A piece of ice floating in a glass of water melts, the level of water in the glass
remains same
A piece of ice kept in water displaces a volume of water whose weight is equal to the weight of the ice. Now if the ice melts, the weight of the water formed due to melting will be equal to the weight of the water that was displaced earlier. That is, the water formed due to melting would perfectly occupy the space that had been earlier occupied by the ice. Hence there would not be any change in the level of the water.