Answer:
The ratio of their volumes is: 27:64.
Step-by-step explanation:
We have been given scale factor of two similar solids which is 3:4
And volume of similar solid is related to the scale factor of similar solid as:
[tex]\text{Ratio of Volume}= \text{scale factor}^3[/tex]
[tex]\text{Ratio of Volume}=(\frac{3}{4})^3[/tex]
[tex]\text{Ratio of Volume}=\frac{3^3}{4^3}[/tex]
[tex]\text{Ratio of Volume}=\frac{27}{64}[/tex]
So, the ratio of their volumes is: 27:64.
