Question

If the numerical value of the surface area of a cube is equal to the numerical value of the volume of the cube, then the numerical value of area of each face of the cube is:

• A. $1$
• B. $6$
• C. $12$
• D. $36$

Answer 1

Answer: (D)

$36$

Let side of the cube is $a$.
Then, its surface area $=6a^2$ and its volume $=a^3$.

Given, the surface area $=$ the volume $=a^3$.

$⟹$ $a^3=6a^2$
$\therefore a=6$.

Hence, numerical value of area of each face $=a^2=36$.

Therefore, option $D$ is correct.