For this case we have that by definition, the volume of a cube is given by:
[tex]V = l ^ 3[/tex]
Where "l" is the length of the side.
We have to:
[tex]l ^ 3 = 300\\l = \sqrt [3] {300}\\l = 6,69432950[/tex]
If we multiply the sides by 7, we will have:
[tex]l '= 6,69432950 * 7\\l '= 46.86030650[/tex]
Then, the new volume will be:
[tex]V '= l' ^ 3\\V '= 102900 \ cm ^ 3[/tex]
Answer:
[tex]102900 \ cm ^ 3[/tex]
