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

1 Answer
Aug 17, 2016

Volume of the pyramid is 6.95 cubic unit

Explanation:

The sides of triangular base A=(67)2+(51)2=17=4.12;
B=(74)2+(17)2=45=6.71;
C=(46)2+(75)2=8=2.83; Semi perimeer s=4.12+6.71+2.832=6.83
Area of triangular baseAt=6.83(6.834.12)(6.836.71)(6.832.83)=2.98
Volume of the pyramid is V=(13)Atht=2.9873=6.95 cubic unit[Ans}