What is the volume, in cubic inches, of the right triangular prism shown below?
5in 3in, 12in
The formula for finding the volume of a right triangular prism is V = (1/2)bhH, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism.
In this case, the base of the right triangle is 5in and the height is 3in, which gives us a base area of (1/2)(5)(3) = 7.5 square inches.
The height of the prism is given as 12in.
Therefore, the volume of the right triangular prism is V = (7.5)(12) = 90 cubic inches.