Question

The perimeter of one face of a cube is $40cm$. The volume of the cube (in ${cm}^3$) is:

• A. $1600$
• B. $1000$
• C. $800$
• D. $160$

Answer 1

The correct option is B $1000$

Let one side of the cube $=s$.

Then, perimeter of one face of cube $=4s$.

But given, perimeter of one face of cube $=40$ cm.

Then,

$⟹4s=40$ cm
$⟹s=10$ cm.

$\therefore$ Volume of the cube $=s^3$ $=$ ${10}^3$ $=$ $1000$ cm${}^3$.

Thus, option $B$ is correct.