Mary has a container that will hold 2 gallons. She needs one that is proportional in size to the one she has but will hold 16 gallons.

Question

What scale factor should she use to find the dimensions of the larger container?

Answer 1

The volume ration is 16/2 = 8.

 

But a scale factor is a linear factor and volume is a cube.

 

So s = 8^(1/3) = 2.