Tetrahedral pyramid 8

Let’s all side edges of the tetrahedral pyramid ABCDV be equally long and its base let’s be a rectangle. Determine its volume if you know the deviations A=40° B=70° of the planes of adjacent sidewalls and the plane of the base and the height h=16 of the pyramid.

Correct result:

V =  2368.9234

Solution:

A=40  B=70  h=16  tanA=hb/2 tanB=ha/2  b=2 h/tan(A)=2 16/tan(40)38.1361 a=2 h/tan(B)=2 16/tan(70)11.647  S=a b=11.647 38.1361444.1731  V=13 S h=13 444.1731 16=2368.9234



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