What is the volume of an 8 inch tall right triangular pyramid with a base hypotenuse of 10 inches and a base leg of 8 inches?

Answer 1

First, we want to look at the base to find its area. A right triangle with a hypotenuse of 10 inches and a leg of 8 inches has its other leg at 6 inches by the Pythagorean Theorem. Now we have both legs of the right triangle, so using the formula for area of a triangle, A=bh/2, we get an area of 24 square inches.

Now, the volume of a pyramid is Bh/3, so 24*10/3=80 cubic inches.