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Question
The volume of a cube whose surface area is 96 cm2, is
Options
16`sqrt(2) cm^3`
32 cm3
64 cm3
216 cm3
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Solution
Let,
a → Side of the cube
V → Volume of the cube
A → Surface area of the cube
We have,
`A = 96 cm^2`
6a^2 = 96` { Since ,A = 6a2 }
a = 4 cm
So,
V = a3
=43
=64 cm3
Thus, volume of the cube is 64 cm3.
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