The figures below are similar.
What is the volume of the smaller cone?
The following proportion applies to similar solids:
where is the ratio of the corresponding dimensions, and is the ratio of the volumes.
Find the cube of the ratio of the corresponding dimensions:
Find the ratio of the volumes:
Use these two ratios to set up a proportion and solve for
V1.

= 




= 

Find the cross products 

64,000 
= 

Simplify 


= 

Divide both sides by 125 

512 
= 


The volume of the smaller cone is 512 cubic metres.
The figures below are similar.
What is the volume of the smaller rectangular pyramid?
Round your answer to the nearest hundred
V
_{1} =
yd
^{3}