What is the volume of this triangular pyramid?

13 yd
15 yd
13 yd

cubic yards

The volume of a triangular pyramid is given by the formula V = (1/3) * base area * height.

First, we need to find the area of the base triangle. The base is a right triangle with legs of 13 yd and 15 yd, so the area can be calculated as (1/2) * 13 yd * 15 yd = 97.5 square yards.

The height of the pyramid is given as 13 yd.

Now we can calculate the volume:
V = (1/3) * 97.5 square yards * 13 yd = 426.25 cubic yards

Therefore, the volume of the triangular pyramid is 426.25 cubic yards.