Find the volume of a cube whose surface area is $384\ m^2$.

Academic Mathematics NCERT Class 8

Given:

Surface area of the cube $=384\ m^2$.

To do:

We have to find the volume of the cube.

Solution:

Let the side of the cube be $s$ m.

Surface area of the cube $= 6s^2$ sq. m.

$384\ m^2 = 6s^2\ m^2$

$64 = s^2$

$8 \times 8= s^2$

$s = 8\ m$.

The volume of a cube of side $s = s^3\ m^3$.

The volume of the given cube $= (8)^3\ m^3$

$= 512\ m^3$

Therefore, the volume of the cube is $512\ m^3$.

Simply Easy Learning

Updated on: 10-Oct-2022

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