The volumes of two solids are 135 in^3 and 625 in^3. Find the scale factor

To find the scale factor between the two volumes, we can calculate the cube root of the ratio of the larger volume to the smaller volume.

Let V1 = 135 in^3 and V2 = 625 in^3.

Scale factor = (V2/V1)^(1/3)
= (625/135)^(1/3)
= (4.6296)^(1/3)
= 1.79

Therefore, the scale factor between the two volumes is approximately 1.79.