Question

The total surface area of a cube is $150c{m}^2$. Its volume is

(a) $216c{m}^3$

(b) $125c{m}^3$

(c) $64c{m}^3$

(d) $1000c{m}^3$

Answer 1

Correct option is B. $125c{m}^3$

Total surface area of cube $=150c{m}^2$

We know that TSA is $6a^2$ where $a$ is the side of the cube.

$\therefore 6a^2=150$

$\Rightarrow a^2=\frac{150}{6}=25$

$\Rightarrow a=5cm$

$\therefore$ Volume $=(a{)}^3=(5{)}^3=125c{m}^3$