Question:
The total surface area of a cube is 96 cm2 . The volume of the cube is
(a) 8 cm3
(b) 512 cm3
(c) 64 cm3
(d) 27 cm3
Solution:
(c) 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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