The triangular base of a pyramid has a height of 16 meters and a base of 9 meters. Find the volume of the pyramid if the height of the solid is 23 1/4

meters.

1 answer

To find the volume of a pyramid, you can use the formula:

Volume = (1/3) * base area * height

First, we need to find the area of the triangular base. Since the base is a triangle, we can use the formula for the area of a triangle:

Base area = (1/2) * base * height

Base area = (1/2) * 9 * 16
Base area = 72 square meters

Now, we can plug in the values into the volume formula:

Volume = (1/3) * 72 * 23.25
Volume = (1/3) * 72 * 23.25
Volume = (1/3) * 72 * 23.25
Volume = 552 cubic meters

Therefore, the volume of the pyramid is 552 cubic meters.