Question

Question 2
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

Total surface area of a cube $=96c{m}^2$

Total surface area of a cube $=6(Side{)}^2=96c{m}^2$

$\Rightarrow (Side{)}^2=16c{m}^2$

$\Rightarrow Side=4cm$

[taking positive square root because side is always a positive quantity]

$\therefore$ Volume of cube $=(Side{)}^3=(4cm{)}^3=64c{m}^3$