Question

christina has two similar cubical planters, cube a and cube b. the side of cube a is 1 ft and the side of cube b is 3 ft. what is the ratio of the volume of cube a to the volume of cube b?

Answer 1

Cube a to cube b is 1:3. This is a one-to-one measure. If we want volume ratios, we have to take the one-to-one ratios and cube them. Like this:
`(1)/(3) =( (1)/(3) ) ^(3)` which simplifies to
`(1)/(27)`. This means that the volume of the smaller object is 27 times smaller than the volume of the larger.