If the ratio of the side lengths of two similar figures is 3/5, what is the ratio of their volumes

Question

[] 3/5
[] 9/25
[] 27/125
[] 6/10

Answer 1

[] 27/125

When the ratio of the side lengths of two similar figures is $a:b$, the ratio of their volumes will be $(a/b{)}^3$. In this case, the ratio of the side lengths is 3:5, so the ratio of their volumes will be $(3/5{)}^3=27/125$.