Question

The total surface area of a cube is $96c{m}^2$. The volume of the cube is:

• A. $8c{m}^3$
• B. $512c{m}^3$
• C. $64c{m}^3$
• D. $27c{m}^3$

Answer 1

The correct option is C $64c{m}^3$

$\text{Total surface area of cube of side 'a' is given by}6a^2.\text{Given, TSA}=96{\text{cm}}^2$
$⟹6a^2=96⟹6a^2=96÷6=16$
$\therefore a=\sqrt{16}=4\text{cm}\text{Hence, volume of cube}=a^3=(4{)}^3=64{\text{cm}}^3$