The base of a triangular pyramid is a triangle with corners at (2,6), (5,3), and (8,2). If the pyramid has a height of 2, what is the pyramid's volume?

1 Answer
Jun 10, 2018

Volume of pyramid Vp=(13)Ath=28 cub. units

Explanation:

A(2,6),B(5,3),C(8,2),h=2

Area of base triangle AT=(12)(x1(y2y3)+x2(y3y1)+x3(y1y2))

At=(12)(2(32)+5(26)+8(63))=42

Volume of pyramid Vp=(13)Ath=(13)422=28