Find the height of a triangular prism with a base length of 10 yards, a base height of 20 yards, and a volume of 600 cubic yards. I know it’s 6 yards but how do I find it

Question

asked Oct 22, 2019 121k views

1 Answer

Sstendal · Answer 1 · 2019-10-27T15:43:11+0000

The volume of the triangular prism is the Area of the base times the height
the area of the base is:

(ab)/(2)

and the volume is:

V=((ba)/(2))h

now b=10 yards, a=20 yards, and V=600 yards^3
we clean the height

$h=(2V)/(ab)=(2\cdot 600)/(10\cdot 20) = 6$

the answer is height = 6 yards