Question

what is the volume of this triangular pyramid? 13 ft 10 ft 15 ft cubic feet submit

Explanation:

Step1: Find the area of the base triangle

The base is a right triangle with legs 10 ft and 15 ft. The area of a triangle is $\frac{1}{2} \times base \times height$. So, the area of the base $B = \frac{1}{2} \times 10 \times 15 = 75$ square feet.

Step2: Use the volume formula for a pyramid

The volume of a pyramid is $V = \frac{1}{3} \times B \times h$, where $B$ is the area of the base and $h$ is the height of the pyramid. Here, $B = 75$ and $h = 13$. So, $V = \frac{1}{3} \times 75 \times 13$.

Step3: Calculate the volume

First, $\frac{1}{3} \times 75 = 25$. Then, $25 \times 13 = 325$.

Answer:

325