Question

what is the volume of this rectangular pyramid? 10 ft 6 ft 6 ft cubic feet

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 base area

The base is a rectangle with length $l = 6$ ft and width $w = 6$ ft. So, $B=l\times w=6\times6 = 36$ square - feet.

Step3: Substitute values into formula

The height $h = 10$ ft. Substitute $B = 36$ and $h = 10$ into the volume formula $V=\frac{1}{3}Bh$. Then $V=\frac{1}{3}\times36\times10$.

Step4: Perform calculation

First, $\frac{1}{3}\times36 = 12$, then $12\times10=120$ cubic - feet.

Answer:

120