The base of a triangular pyramid is a triangle with corners at (5,1), (2,7), and (3,6). If the pyramid has a height of 4, what is the pyramid's volume?

1 Answer
Apr 4, 2017

2unit3

Explanation:

Volume of pyramid = 13 * base area * height

let say x1=5,x2=2,x3=3,y1=1,y2=7andy3=6

Base area =12|(x1y2+x2y3+x3y1)(y1x2+y2x3+y3x1)|

=12|(57+26+31)(12+73+65)|

=12|(35+12+3)(2+21+30)|

=12|(5053)|=12|(3)|=32

Volume of pyramid = 13324=2unit3