The lateral surface area of a cube is 256 m². The volume of the cube is ______.
512

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Solution

The correct option is A 512
Lateral surface area of cube
$= 4 (edge)^{2}$

$∴ 4 (edge)^{2} = 256 m^{2}$

$\Rightarrow (edge)^{2} = \frac{256}{4}$

$\Rightarrow (edge)^{2} = 64$

$\Rightarrow edge = \sqrt{64} = 8 m$

$Volume of cube = (edge)^{3}$
$= (8)^{3}$
$= 512 m^{3}$

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Question 7
The lateral surface area of a cube is $256 m^{2}$ . The volume of the cube is:

A) $512 m^{3}$
B) $64 m^{3}$
C) $216 m^{3}$
D) $256 m^{3}$

The lateral surface area of a cube is 256 m². The volume of the cube is ______.

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