What is the scale factor of a cube with a volume of 729 to a cube with a volume of 6859?

Given the volume of the cube, which comes from the cube of the side (S³), we can get its scale factor or the ratio of its side by getting the length of the side.

Since our geometric figure is cube, therefore, all sides are equal and the length of each will be the cube root of the volume.

∛729 = 9

∛6859 = 19

The scale factor is 9:19