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This problem trains for: SAT-II, AMC-8, Math Kangaroo 7-8.

95\% of the volume of a cube is filled with water. If the sides of the base square double in length, what percentage of the new volume will be filled with water? (Assume the amount of water does not change.)

The volume of water is the same in both cases. Assume the cube has side a.

In the original cube, the volume of water is:

equation

After the increase, the volume of the cube becomes:

equation