Suppose you have two similar rectangular prisms. The volume of the smaller rectangular prism is 343 in^3 and the volume of the larger rectangular prism is 1,000 in^3. What is the scale factor of the smaller figure to the larger figure?

3:5

1:3

7:10

18:25

We are given two similar rectangular prisms:

Volume of the smaller rectangular prism is 343 in^3

Volume of the larger rectangular prism is 1000 in^3

The scale factor of the smaller figure to the larger figure is determined by:

∛343 in^3 / ∛1000 in^3

7 / 10

therefore, the scale factor is 7:10