SOLUTION: I have two similar square-based pyramids, pyramid A has altitude of 50m and volume of 33,750, pyramid B has altitude of 120m, find the volume?

Algebra ->  Volume -> SOLUTION: I have two similar square-based pyramids, pyramid A has altitude of 50m and volume of 33,750, pyramid B has altitude of 120m, find the volume?       Log On


   



Question 893025: I have two similar square-based pyramids, pyramid A has altitude of 50m and volume of 33,750, pyramid B has altitude of 120m, find the volume?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a pyramid is A*h/3 (A = base area)
For a square base, A = s^2 (s = side length)
--> Vol+=+s%5E2%2Ah%2F3
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If 1 dimension changes for a similar solid, all change by the same ratio.
The change in h is 120/50 = 2.4x
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For B, Vol+=+%282.4s%29%5E2%2A%282.4h%29%2F3+=+2.4%5E3%2A%28Vol+of+A%29
33750*2.4^3 = 466560 cubic units