Question

what is the volume of this rectangular pyramid? 6 yd 11 yd 9 yd cubic yards

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate the area of the base

The base is a rectangle with length $l = 11$ yd and width $w = 9$ yd. So, $B=l\times w=11\times9 = 99$ square yards.

Step3: Calculate the volume

The height $h = 6$ yd. Substitute $B = 99$ and $h = 6$ into the volume formula: $V=\frac{1}{3}\times99\times6$. First, $\frac{1}{3}\times99 = 33$, then $33\times6=198$ cubic yards.

Answer:

198