Problema Solution

The bases of a right prism are right triangles with side lengths of 3 inches, 4 inches, and 5 inches. The volume of the prism is 96 cubic inches. What is the height of the prism?

Answer provided by our tutors

Volume of prism= (Area of the base triangle) (height of the prism)

Area of base triangle= (1/2)(base)(height)

                            =(1/2)(3)(4)=6 in^2

Volume of prism= (Area of the base ) (height of the prism)

96=(6)(height of prism)

height of prism= 96/6= 16 inch