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

1 Answer
Dec 31, 2016

16/3=5.33

Explanation:

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Pyramid volume V=1/3*A*H, where A is the pyramid's base area and H is the height of the pyramid.

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

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

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