Question

Two similar solids have a scale factor of 3:4. What is the ratio of their volumes, expressed in lowest terms? Enter your answer in the boxes.

Answer 1

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:

$\text{Ratio of Volume}= \text{scale factor}^3$

$\text{Ratio of Volume}=(\frac{3}{4})^3$

$\text{Ratio of Volume}=\frac{3^3}{4^3}$

$\text{Ratio of Volume}=\frac{27}{64}$

So, the ratio of their volumes is:  27:64.