What is the volume of a rectangular prism when the lengths are tripled?
2 Answers
The volume increases by a factor of
Explanation:
Let's pretend that the volume
Where
Using the transitive property, we can rearrange:
Notice we now have
You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:
The volume becomes 27 times the initial volume of rectangular prism when lengths are tripled
Explanation:
Let
Now, all ;engths are tripled i.e. dimensions become
The volume becomes 27 times the initial value