A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³. What is the scale factor?
To compare volumes, you need to compare their cube roots:
cuberoot(360) = cuberoot(8) x cuberoot(45) = 2 x cuberoot(45)
Since the cube root of 360 is 2 times the cube root of 45, the scale factor is 2:1.