Question

The lateral surface area of a cube is $100$ $m^2$. The volume of the cube is :

• A. $1000$ $m^3$
• B. $100$ $m^3$
• C. $25$ $m^3$
• D. $125$ $m^3$

Answer 1

The correct option is D $125$ $m^3$

Given, the lateral surface area of cube $=100m^2$
Let the edge of the cube be $a$ m

So the lateral surface area of cube $=4a^2$

Hence, ${4a}^2=100$

$\Rightarrow a^2=25$
$\Rightarrow a=5m$

$\therefore$ Volume of cube $=a^3$
$={\left(5\right)}^3$
$=125m^3$