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.Com
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) (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)
-->
-------
If 1 dimension changes for a similar solid, all change by the same ratio.
The change in h is 120/50 = 2.4x
------
For B,
33750*2.4^3 = 466560 cubic units
RELATED QUESTIONS
I have a problem that I am having trouble with. There is a square-based pyramid that has... (answered by Alan3354)
A pyramid has a volume of 24 and a base area of 12. What is the length of the altitude of (answered by ewatrrr)
The larger of two similar pyramids has 8 times the volume of the smaller. If the smaller... (answered by scott8148)
A pyramid has a volume of 16 and an altitude of 5. What is the area of its base?
(answered by jim_thompson5910)
A regular pyramid has a square base. One side of the base has a length of 12 units and... (answered by Greenfinch)
A regular pyramid has a square base. One side of the base has a length of 12 units and... (answered by nyc_function)
A regular pyramid has a square base. One side of the base has a length of 12 units and... (answered by nyc_function)
Similar pyramids have altitudes of 3cm and 4cm. The
volume of the smaller pyramid is... (answered by MathLover1,ikleyn)
solve. Approximate irrational roots to the nearest tenth.
The volume V of a pyramid... (answered by fractalier)