Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 cubic inches

Answer: 20 inches

Step-by-step explanation:

This is a triangular prism, we first need to find the area of the triangle!

A (triangle) = 1/2 x base of triangle x height of triangle

A = 1/2 x 3 x 5 = 7.5 square inches

Now lets work out the height of the prism, we can use the volume of the prism to do so.

V = Area of triangle x height

150 = 7.5 x height

Height = 150/7.5 = 20 inches

the height is 20 inches