The base of a triangular pyramid is a triangle with corners at (4,5), (6,1), and (7,3). If the pyramid has a height of 15, what is the pyramid's volume?

1 Answer
Jan 10, 2018

Volume of a pyramid is 20 cubic.unit.

Explanation:

Volume of a pyramid is 13base area hight.

(x1,y1)=(4,5),(x2,y2)=(6,1),(x3,y3)=(7,3),h=15

Area of Triangle is Ab=12(x1(y2y3)+x2(y3y1)+x3(y1y2))

Ab=12(4(13)+6(35)+7(51)) or

Ab=12(812+28)=128=4 sq.unit.

Volume of a pyramid is 13Abh=13415=20 cubic.unit [Ans]