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A triangular prism has a volume of 2,500 cubic feet. What is the length of the prism if its triangular bases are right triangles, each with perpendicular sides of 10 and 20 feet?

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wuzzleluver
Volume of a triangular prism: (area of base)(length) 

Base: triangle 

Area of base= [tex] \frac{1}{2} bh[/tex] 

h=20 ft
b=10 ft
[tex]A_{Base}= \frac{1}{2} (10)(20)= (5)(20)= 100[/tex]

area of base= 100ft²

2500ft³= (100ft²)(length)
25= length


Answer:

Length= 25ft


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