A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters?

Since the volume of a cube is s^3 and we are told V=64 we can say:

s^3=64

s=64^ (1/3)

s=4

So if this cube is scaled by a factor of 5, it will have a side length of 5*4=20

And the volume would then be:

V=20^3

V=8000 m^3