The base of a triangular pyramid is a triangle with corners at (4 ,1 )(4,1), (3 ,1 )(3,1), and (9 ,5 )(9,5). If the pyramid has a height of 8 8, what is the pyramid's volume?

1 Answer
Dec 31, 2016

16/3=5.33163=5.33

Explanation:

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Pyramid volume V=1/3*A*HV=13AH, where AA is the pyramid's base area and HH is the height of the pyramid.

Given that A(3,1), B(4,1) and C((,5)A(3,1),B(4,1)andC((,5) are the triangular base's corners, as shown in the diagram,
=> A=1/2*1*4=2A=1214=2

Given that the pyramid has a height of 8, => H=88,H=8

=> V=1/3AH=1/3*2*8=16/3=5.33V=13AH=1328=163=5.33