Question

The volume of a cube is ${\text{64 cm}}^3$. Its surface area is

• A. $16{\text{cm}}^2$
• B. ${\text{64 cm}}^2$
• C. $96{\text{cm}}^2$
• D. ${\text{128 cm}}^2$

Answer 1

The correct option is C

$96{\text{cm}}^2$

Explanation for the correct options :

Surface area of a cube:

We know that volume of cube is $={\text{a}}^3$

And side of cube is $=\sqrt[3]{\text{volume}}$

So now side of cube is $=\sqrt[3]{64}=4\text{cm}$

We know that surface area of the cube is $\mathbf{=}\mathbf{6}{\mathbf{\text{a}}}^{\mathbf{2}}$$=6{\left(4\right)}^2=6\left(16\right)=96{\text{cm}}^2$

Hence, option(C) is the correct answer