Question

The volume of a cube whose surface area is $96c{m}^2,$ is

• A. $16\sqrt{2}c{m}^3$
• B. $32c{m}^3$
• C. $64c{m}^3$
• D. $216c{m}^3$

Answer 1

The correct option is C

$64c{m}^3$

$\text{Surface area of a cube}=96c{m}^2$

$\therefore Side=\sqrt{\frac{\text{Surface area}}{6}}$$=\sqrt{\frac{96}{6}}=\sqrt{16}=4cm$

$\therefore Volume=a^3=(4{)}^3=4\times 4\times 4=64c{m}^3$