Find the volume of a cube if its surface area is 96 cm2.

A cube is a parallelepiped with all faces the same. There are six faces, the area of each is equal to a ^ 2, where a is the side of the cube. The surface area of the cube is S = 6a ^ 2.

We know that the surface area of a cube is 96 cm2, which means 6a ^ 2 = 96, from here we find a:

a ^ 2 = 96: 6 = 16,

a = 4.

The volume of the cube is V = a ^ 3 = 4 ^ 3 = 64 cm3.

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