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= $\frac{1}{2} bh$ 

h=20 ft
b=10 ft
$A_{Base}= \frac{1}{2} (10)(20)= (5)(20)= 100$

area of base= 100ft²

2500ft³= (100ft²)(length)
25= length


Answer:

Length= 25ft