The volume of cube is 216 cm cube. If the length of the edge is increased by two times, what should the volume of new cube?

Jun 11, 2018

$1728$ cubic cm will be the new volume.

Explanation:

Recall that the volume of a cube is given by

$v = {l}^{3}$

If we substitute $2 l$ into the expression we see that

$v = {\left(2 l\right)}^{3} = 8 {l}^{3}$, so the volume is $8$ times the original volume.

Therefore, the new volume will be $8 \cdot 216 = 1728$ cubic centimetres.

Hopefully this helps!