Find the similarity ratio of a cube with a volume 512 m3 to a cube with volume 3,375 m3

how would you do this problem

To determine the similarity ratio, we need to compare the sides of the cubes. Unluckily, we are given the volumes, so we will need to find the sides by calculation.

First cube:

512 m^3

Taking the cube root (or thinking about it), we can find that the side length must be 8 m.

Second cube:

3375 m^3

Similar idea, we can find that the side length must be 15 m.

The similarity ratio is 15/8 or approximately 1.875.