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Question
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
Options
8 cm3
512 cm3
64 cm3
27 cm3
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Solution
The total surface area of a cube is 96 cm2. The volume of the cube is 64 cm3.
Explanation:
Surface area of a cube = 96 cm2
Surface area of a cube = 6 (Side)2 = 96
⇒ (Side)2 = 16
⇒ (Side) = 4 cm ...[Taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.
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