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Question

The volume of a cube whose surface area is 384 cm2, is __________.

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Solution


Let the edge of cube be a cm.

Surface area of the cube = 384 cm2 (Given)

⇒ 6a2 = 384 cm2

⇒ a2 = 64

⇒ a = 64 = 8 cm

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

Thus, the volume of the cube is 512 cm3.

The volume of a cube whose surface area is 384 cm2, is ___512 cm3___.

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