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lapo4ka [179]
3 years ago
8

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

Mathematics
1 answer:
Artemon [7]3 years ago
8 0
The volume of the triangular prism is the Area of the base times the height
the area of the base is:
\frac{ab}{2}
and the volume is:
V=(\frac{ba}{2})h

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

h=\frac{2V}{ab}=\frac{2\cdot 600}{10\cdot 20} = 6


the answer is height = 6 yards


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