Tetrahedral pyramid 8

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

Correct answer:

V =  2368.9234

Step-by-step explanation:

A=40  B=70  h=16  tan A = b/2h tan B = a/2h  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=31 S h=31 444.1731 16=2368.9234



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