The surface area of a cube is 150 cm². Its volume is :

A. 64 $${\text{c}}{{\text{m}}^3}$$

B. 125 $${\text{c}}{{\text{m}}^3}$$

C. 150 $${\text{c}}{{\text{m}}^3}$$

D. 216 $${\text{c}}{{\text{m}}^3}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & 6{a^2} = 150 \cr & \Rightarrow {a^2} = 25 \cr & \Rightarrow a = 5 \cr} $$
∴ Volume :
$${a^3} = {5^3} = 125\,{\text{ c}}{{\text{m}}^3}$$