Question

If the perimeter of one face of a cube is $40cm$, then what is the volume of the cube?

• A. $1000c{m}^3$
• B. $500c{m}^3$
• C. $800c{m}^3$
• D. $900c{m}^3$

Answer 1

The correct option is A $1000c{m}^3$

Each face of a cube is a square.
Let the length of each edge of the cube be '$a$' cm.
Then, $4a=40\Rightarrow a=10cm$
$\therefore$ Volume of the cube $=a^3=(10{)}^{3}c{m}^3$$=1000c{m}^3$.