Question

The volume of the cube is $27c{m}^3$. If this cube is cut into 9 smaller cubes then, what's the volume of each smaller cube?

• A. $3c{m}^3$
• B. $6c{m}^3$
• C. $9c{m}^3$
• D. $15c{m}^3$

Answer 1

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

We know that the volume always remains constant.
Volume of cube $=(side{)}^3$

$\text{Initial volume = Final volume}$
$\Rightarrow 27c{m}^3=9\times \text{Volume of each smaller cube}$
$\Rightarrow 3c{m}^3=\text{Volume of each smaller cube}$