Which is the side length of a cube with a volume of 125 m3

A. 125³m

B √125 m

C.³√5 m

D ³√125 m

It would be D.

First of all, consider one side of a cube as x. If x is raised to the third, it would equal the area of that cube, maybe y. For example, if the side of a cube was 10 m and you had to find the volume of that cube, 10^3 = 10x10x10 = 1000 m^3.

For this problem, you just have to reverse the process. Instead of cubing a side to find the volume, take the third root of the volume to get the side length. So, if y is the volume of a cube, take the third root of y which could equal x. If you were to relate it the previous example, 1000 is the volume. So, ³√1000 = 10.

Therefore, to find the side length of a cube with volume 125m^3, you would have to ³√125m = 5.