Question

Find the scale factor of the figures below from left to right given the volume of each .

Answer 1

Answer is choice D)  5:3

Explanation:

The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.

Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3

Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3

If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.