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Question
The total surface area of a cube is 864 cm2. Find its volume.
Solution
Let the side of the cube be 'a' cm
∴ Total surface area of a cube = 6a2
∴ 864 = 6a2 ...(Given)
a2 = `(864)/(6)`
a2 = 144
a = `sqrt(144)` ...(Taking square roots on both sides)
∴ a = 12cm
Volume of a cube
= a3
= 123
= 1728cm3
∴ Volume of the cube = 1728cm3.
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