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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?

1 Answer

Jun 11, 2018

$1728$ $1728$ cubic cm will be the new volume.

Explanation:

Recall that the volume of a cube is given by

$v = l^{3}$ $v = l^3$

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

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

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

Hopefully this helps!

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