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

univerkov | August 3, 2021 | education

Since the surface of a cube consists of six identical faces, the area of one will be equal to: 96/6 = 16 cm ^ 2.
Then the length of the rib will be: √16 = 4 cm.
By definition, the volume of a cube is: V = a ^ 3, where a is its edge.
Then the answer to the problem is:
4 ^ 3 = 54 cm ^ 3.

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