Question

If two pyramids are similar and the ratio between the lengths of their edges is 3:4, what is the ratio of their volumes?

Answer 1

The ratio of their volumes is 27/64

Explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is 3/4

step 2

Find the ratio of their volumes

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

`((3)/(4))^(3)=(27)/(64)`