Question

what is the volume of this triangular pyramid? 9 yd 8 yd 6.8 yd cubic yards submit

Explanation:

Step1: Calculate base - area

The base of the triangular pyramid is a triangle. The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the base - triangle is $b = 8$ yd and the height of the base - triangle is $h = 6.8$ yd. So, $A=\frac{1}{2}\times8\times6.8=27.2$ square yards.

Step2: Calculate volume

The volume formula for a pyramid is $V=\frac{1}{3}\times A\times H$, where $A$ is the base - area and $H$ is the height of the pyramid. Here, $A = 27.2$ square yards and $H = 9$ yd. So, $V=\frac{1}{3}\times27.2\times9 = 81.6$ cubic yards.

Answer:

$81.6$