Question

Calculate the area of a face of a cube if its volume is 216 $c{m}^3$.

• A. $36c{m}^2$
• B. $72c{m}^2$
• C. $144c{m}^2$
• D. $288c{m}^2$

Answer 1

The correct option is A $36c{m}^2$

Let's consider the side of a cube be $a$.
Volume = $a^3$
Now, it is given that the volume of the cube is 216 $c{m}^3$
So, $a^3=216c{m}^3$
⇒ $a=6cm$
Hence, area of a face of a cube
= $6cm\times 6cm$
= $36c{m}^2$