Answer:
The ratio of their volumes is 27/64
Step-by-step 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
[tex](\frac{3}{4})^{3}=\frac{27}{64}[/tex]
