The base of a triangular pyramid is a triangle with corners at (7 ,8 ), (2 ,3 ), and (8 ,3 ). If the pyramid has a height of 6 , what is the pyramid's volume?

1 Answer
Binayaka C.
Aug 21, 2016

Volume of pyramid is 30.0 cubic unit

Explanation:

Triangle's sides are
A=sqrt((7-2)^2+(8-3)^2) =sqrt50=7.07
B=sqrt((2-8)^2+(3-3)^2) =sqrt36=6.0
A=sqrt((8-7)^2+(3-8)^2) =sqrt26=5.1:.Semi perimeter:s=(A+B+C)/2=9.09:. Base area: A_b = sqrt(s(s-a)(s-b)s-c))=sqrt(9.09(9.09-7.07)(9.09-6)(9.09-5.1))=15.0:.Volume of pyramid: v=1/3*A_b*ht =1/3*6*15=30.0 cubic unit[Ans]

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