Question

Surface area of a cube is $1014$ sq cm. Its volume will be:

• A. $2197$ cu. cm
• B. $2297$ cu. cm
• C. $2179$ cu. cm
• D. $2117$ cu. cm

Answer 1

The correct option is A $2197$ cu. cm

We know, Surface area of a cube $6\times {\left(side\right)}^2$.

Given, surface area of the cube $=1014$ sq. cm.

$\therefore 6\times {\left(side\right)}^2=1014$

$\Rightarrow {\left(side\right)}^2=\frac{1014}{6}=169$

$\Rightarrow side=\sqrt{169}=13cm$.

$\therefore$ Volume of the cube$={\left(side\right)}^3={\left(13\right)}^3=2197$ cu. cm.

Hence, option $A$ is correct.