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Question

The total surface area of a cube is 864 cm2. Its volume is
(a) 3456 cm3
(b) 432 cm3
(c) 1728 cm3
(d) 3456 cm3

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Solution

(c) 1728 cm3
Let the edge of the cube be a.
Total surface area of the cube = 6a2
Therefore,
6a2=864a2=144a=12 cm
Therefore, volume of the cube = a3
=12×12×12 cm3=1728 cm3

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