Two similar solids have a scale factor of 3:4. What is the ratio of their volumes, expressed in lowest terms?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
Two similar solids have a scale factor of 3:4. What is the ratio of their volumes, expressed in lowest
Determine the ratio of their volumes in the lowest terms
Solution:
In order to determine the ratio of their volumes in the lowest terms, we simply must think of a value that we can factor out from 4 and 3, or simply their greatest common factor. In our case, we know that 3 is a prime number, containing the factors 1 and 3, whereas 4 contains the factor, 1, 2, and 4. This means that we cannot factor out or simplify the equation any further.
Final answer:
3:4