Question

A cube has a volume of 300 cm3. If all the side lengths are multiplied by 7, what will the resulting volume be?

Answer 1

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where "l" is the length of the side.

We have to:

$l ^ 3 = 300\\l = \sqrt [3] {300}\\l = 6,69432950$

If we multiply the sides by 7, we will have:

$l '= 6,69432950 * 7\\l '= 46.86030650$

Then, the new volume will be:

$V '= l' ^ 3\\V '= 102900 \ cm ^ 3$

Answer:

$102900 \ cm ^ 3$