Question

The total surface area of a cube is 150 cm². Its volume is
(a) 216 cm³
(b) 125 cm³
(c) 64 cm³
(d) 1000 cm³

Answer 1

Correct option is (b) $125c{m}^3$

We know that,

TSA of cube $=6a^2$

$\Rightarrow 6a^2=150$

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

$\therefore a=5cm$

Thus, Volume of cube $=a^3=5^3=125c{m}^3$