I had a similar question in the "engineering systems and design" category but didn't get any replies so hear is the simple version involving only the math.(adsbygoogle = window.adsbygoogle || []).push({});

Basically I just need to see if I am using the correct formula to the calculate the volume of a frustum pyramid. However the bottom of the pyramid is a 24"x24" square and the top would be a place which much much larger 6 sided shape, with all sides different lengths. I just need to know if this formula will work for a frustum pyramid with a square for one plane and a 6 sided shape for the other plane and a depth of 4" Here is my math.

This is not a school related question.

The formula was found on wikipedias entry for a frustum pyramid

Height = 4 inches Area 1 = 713392”

Area 2 = 756” (24”x24”)

Volume = (height *area1) – (height*area2)

3

= ( 4” * 713392”) -( 4” * 576”)

3

Volume = 2851264 inches cubed

Convert to feet cubed ( 1 ft^3 = 144 in^3

2851264 / 144 = 19800.44 feet cubed

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# Frustum Pyramid

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