Question

what is the volume of this rectangular pyramid? 12 ft 19 ft 19 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 $l = 19$ ft and width $w = 19$ ft. So, $B=l\times w=19\times19 = 361$ square - feet.

Step3: Calculate volume

The height $h = 12$ ft. Substitute $B = 361$ and $h = 12$ into the volume formula: $V=\frac{1}{3}\times361\times12$. First, $\frac{1}{3}\times12 = 4$, then $4\times361=1444$ cubic - feet.

Answer:

1444