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Question

The lateral surface area of a cube is 256 cm2. The volume of the cube is __________.

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Solution


Let the edge of the cube be a cm.

Lateral surface area of cube = 256 cm2 (Given)

4a2=256

a2=64

a=8 cm

∴ Volume of the cube = a3 = (8 cm)3 = 512 cm3

Thus, the volume of the cube is 512 cm3.

The lateral surface area of a cube is 256 cm2. The volume of the cube is __512 cm3__.

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