Question

what is the volume of this triangular pyramid? 10 yd 15 yd 9 yd cubic yards

Explanation:

Step1: Find the area of the triangular base.

The base of the triangle is 15 yd and the height of the triangle (perpendicular to the base) is 10 yd. The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. So, $A = \frac{1}{2} \times 15 \times 10 = 75$ square yards.

Step2: Use the volume formula for a pyramid.

The volume of a pyramid is $V = \frac{1}{3} \times base\ area \times height\ of\ the\ pyramid$. The height of the pyramid (the perpendicular height from the base to the apex) is 9 yd. Substituting the values, we get $V = \frac{1}{3} \times 75 \times 9$.

Step3: Calculate the volume.

First, $\frac{1}{3} \times 75 = 25$, then $25 \times 9 = 225$.

Answer:

225