Question

what is the volume of this triangular pyramid? 10 ft 14.4 ft 11 ft cubic feet submit

Explanation:

Step1: Find base - area of triangle

The base of the triangular pyramid is a triangle with base $b = 14.4$ ft and height $h_{base}=11$ ft. The area of a triangle $A=\frac{1}{2}\times b\times h_{base}$. So, $A=\frac{1}{2}\times14.4\times11 = 79.2$ square - feet.

Step2: Calculate volume of pyramid

The volume of a pyramid $V=\frac{1}{3}\times A\times H$, where $A$ is the base - area and $H$ is the height of the pyramid. Here, $A = 79.2$ square - feet and $H = 10$ ft. So, $V=\frac{1}{3}\times79.2\times10=264$ cubic - feet.

Answer:

264