What is the volume of this triangular pyramid?
10 ft
9 ft
6 ft
cubic feet
The formula for the volume of a triangular pyramid is V = (1/3) * base area * height.
First, we need to calculate the area of the base, which is a triangle. The base of the triangle is 10 ft and the height is 9 ft. The area of a triangle is (1/2) * base * height.
Base area = (1/2) * 10 ft * 9 ft
Base area = (1/2) * 90 ft^2
Base area = 45 ft^2
Now, we can calculate the volume of the pyramid using the formula V = (1/3) * base area * height.
V = (1/3) * 45 ft^2 * 6 ft
V = (1/3) * 270 ft^3
V = 90 ft^3
Therefore, the volume of the triangular pyramid is 90 cubic feet.