Question

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?

Answer 1

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

Base: triangle

Area of base=
`(1)/(2) bh`

h=20 ft
b=10 ft

`A_(Base)= (1)/(2) (10)(20)= (5)(20)= 100`

area of base= 100ft²

2500ft³= (100ft²)(length)
25= length


Answer:

Length= 25ft