Answer:
Step-by-step explanation:
There is a specific order in which these dimensions exist.
Perimeter-->Area-->Volume
Perimeter is one-to-one,
Area is the one-to-one squared, and
Volume is the one-to-one cubed.
We are given area and the volume of one of the objects. In order to find the volume of the other object, we first need to determine the one-to-one ratio and then take it from there. If the areas exist in a
[tex]\frac{132}{297}[/tex] ratio, to find the one-to-one, we have to take the square roots of those numbers. That gives us a one-to-one of
[tex]\frac{\sqrt{132} }{\sqrt{297} }=\frac{2\sqrt{33} }{3\sqrt{33} }=\frac{2}{3}[/tex]
The ratio of the volumes now is that one-to-one cubed:
[tex]\frac{(2)^3}{(3)^3}=\frac{8}{27}[/tex]
Using that ratio along with the given volume we can solve for the unknown volume:
[tex]\frac{8}{27} =\frac{264}{x}[/tex] and cross multiply:
8x = 7128 so
x = 891
