Question

The volume of a particular cube is $8$ cubic inches. Find the surface area of the cube, in square inches.

• A. $4$
• B. $12$
• C. $24$
• D. $32$

Answer 1

The correct option is C $24$

Given, volume of a particular cube is $V=8$ cubic inches
We know formula for volume of a cone is:
$V=s^3$, where $s$ is the side of the cube.

$\Rightarrow 8=s^3$
$\Rightarrow s=\sqrt[3]{38}=2$ inches.

We know side of the cube is $2$ inches.
Since cube has $6$ faces, its formula for the surface area is $6s^2$
$=6\times 2^2=6\times 4=24$ inches.

Therefore, Surface area of the cube will be $24$ square inches.

Hence, option $C$ is correct.