Question

what is the volume of this rectangular pyramid? 12 ft 19 ft 19 ft blank cubic feet submit

Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular pyramid is given by the formula \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height of the pyramid.

Step2: Calculate the area of the base

The base of the rectangular pyramid is a square (since both length and width are 19 ft). The area of a square is \( B = s\times s \), where \( s = 19 \) ft. So, \( B=19\times19 = 361 \) square feet.

Step3: Substitute the values into the volume formula

We know that \( B = 361 \) square feet and \( h = 12 \) ft. Substituting these into the formula \( V=\frac{1}{3}Bh \), we get \( V=\frac{1}{3}\times361\times12 \).

Step4: Simplify the expression

First, calculate \( 361\times12 = 4332 \). Then, divide by 3: \( \frac{4332}{3}=1444 \).

Answer:

1444