The volume of ice is greater than water because of its molecular structure. When water molecules reach freezing point, they form a crystalline structure. The reason this has greater volume than water is the crystalline structure has a lot of open space between the molecules. The water molecules can move around and change place, but the ice has a form with established space in between the molecules. Here is a great picture comparison : http://www.bio.miami.edu/~cmallery/150/chemistry/ice.jpg.
Volume is the amount of space an object takes up. Water and ice could share the same volume and yet have different densities and masses. Mass is basically weight and density=mass/volume. I think you mean to ask, why is ice less dense than water? Unless you mean to ask, why does ice with the same amount of mass take up a greater volume? Greenjoy’s answer is a good answer for the question “Why is ice less dense than water?”
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