Question

Find the volume of a cube if each face of a cube has a perimeter of 32 cm?

• A. $48c{m}^3$
• B. $64c{m}^3$
• C. $52c{m}^3$
• D. $72c{m}^3$

Answer 1

The correct option is B

$64c{m}^3$

Let ABCD be a face of the cube

Then, ABCD will be a square

Perimeter = 4a = 32 cm

or $a=\frac{32}{8}$ = 4 cm

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