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.

Question

asked Aug 23, 2019 108k views

2 Answers

Yisrael Dov · Answer 1 · 2019-08-28T09:32:25+0000

Answer:

The ratio of their volumes is: 27:64.

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:

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

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

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

$\text{Ratio of Volume}=(27)/(64)$

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