Question

what is the volume of this triangular pyramid? 20 yd 16.7 yd 12 yd cubic yards submit

Explanation:

Step1: Calculate base - area

The base 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 $16.7$ yd and the height is $12$ yd. So, $A = \frac{1}{2}\times16.7\times12=100.2$ square yards.

Step2: Calculate volume

The volume formula for a pyramid is $V=\frac{1}{3}\times base - area\times height$. The base - area $A = 100.2$ square yards and the height of the pyramid is $20$ yd. So, $V=\frac{1}{3}\times100.2\times20 = 668$ cubic yards.

Answer:

668