Question

The perimeter of one face of a cube is $20$ m, then its volume is:

• A. $800$ m${}^3$
• B. $1000$ m${}^3$
• C. $125$ m${}^3$
• D. $400$ m${}^3$

Answer 1

Answer: (C)

$125$ m${}^3$

Let one side of the cube $=s$ m.

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

But given, perimeter of one face of cube $=20$.

Then,

$⟹4s=20$ m
$⟹s=5$ m.

$\therefore$ Volume of the cube $=s^3$ $=$ $5^3$ $=$ $125$ m${}^3$.

Thus, option $C$ is correct.