SOLUTION: The scale factor of two similar triangular prisms is 2. The volume of the smaller prism is 52 yd3. What is the volume of the larger prism?

Algebra ->  Volume -> SOLUTION: The scale factor of two similar triangular prisms is 2. The volume of the smaller prism is 52 yd3. What is the volume of the larger prism?      Log On


   

Question 924803: The scale factor of two similar triangular prisms is 2. The volume of the smaller prism is 52 yd3. What is the volume of the larger prism?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For similar similar figures/shapes,
if the ratio of corresponding lengths (the scale factor) is R ,
the ratio of corresponding areas is R%5E2 , and
the ratio of corresponding volumes is R%5E3 .
So if the scale factor is 2 ,
the volume of the larger prism is
2%5E3=8 times the volume of the smaller prism.
So the volume of the larger prism is 8%2A52yd%5E3=highlight%28416yd%5E3%29 .