SOLUTION: Two pyramids are ~.the slant height of the smaller pyramid is 14m and the slant height of the larger pyramid is 22m. If the volume of the larger is 138m cubed, what's the volume of

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Question 972747: Two pyramids are ~.the slant height of the smaller pyramid is 14m and the slant height of the larger pyramid is 22m. If the volume of the larger is 138m cubed, what's the volume of the smaller pyramid?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
When corresponding lengths of similar solids are in a ratio r ,
corresponding surface areas are in the ratio r%5E2 ,
and volumes are in the ratio r%5E3 .
The ratio of corresponding slant heights is 22m%2F%2214+m%22=11%2F7 .
So, the ratio of the volumes is %2811%2F7%29%5E2=1331%2F343 .
The volume of the larger pyramid is 1331%2F343 the volume of the smaller pyramid.
The volume of the smaller pyramid is 343%2F1331 times the volume of the smaller pyramid, or
%28343%2F1331%29138m%5E2=abouthighlight%2835.56m%5E3%29