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What is the volume of a cube, whose surface area is $216 m 2$ ?

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{216 m}^{3}

{217 m}^{3}

{316 m}^{3}

{317 m}^{3}

answer is A.

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Detailed Solution

The given surface area of a cube is

216 m 2

.
Let the side of a cube be x units.
We know that, Surface area = 6x

2

unit and volume = x

3

units.
By the given condition,

⇒ 6 x 2 = 216 ⇒ x 2 = 36 ⇒ x = 6

The volume of the cube is,

\Rightarrow 6^{3}

\Rightarrow {216 m}^{3}

Hence volume of the cube is

{216 m}^{3}

.
Therefore, option 1 is correct.

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