We are given a triangular pyramid with a volume of 48 cubic inches. One of the base's edges is 9 inches and the height falling on that edge is 4 inches. We want to find the height of this pyramid. Let's first recall the formula for the volume of a pyramid.
V=1/3BhHere, B is the area of the base, and h is the height of the pyramid. Since the base is a triangle, the base's area B is half the product of the base edge and the base's height. Let's find this area!
B = 1/2( 9)( 4) = 18
The base's area is 18 square inches. Our pyramid has a volume of 48 cubic inches. Let's substitute this values into the formula for the volume of a pyramid. That way, we will get an equation for h. Then, let's solve this equation!
