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 $64c{m}^3$

Given: Surface area of cube $=96c{m}^2$

Let the side of cube be $acm$

We know that,

Surface area of cube $=6a^2$

$\Rightarrow 6a^2=96$

$\Rightarrow a^2=16$

$\Rightarrow a=4$

$\therefore$ Volume of cube $=a^3$

$=(4{)}^3$

$=64c{m}^3$

Hence, (c) is the correct option.