Question

what is the volume of this rectangular pyramid? 9 ft 10 ft 14 ft ​ cubic feet submit

Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular pyramid is given by \( V=\frac{1}{3}Bh \), 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 rectangle with length \( l = 14\) ft and width \( w = 10\) ft. The area of a rectangle is \( B=l\times w \). So, \( B = 14\times10=140\) square feet.

Step3: Substitute the values into the volume formula

We know that the height \( h = 9\) ft and \( B = 140\) square feet. Substituting these into the formula \( V=\frac{1}{3}Bh \), we get \( V=\frac{1}{3}\times140\times9 \).

Step4: Simplify the expression

First, multiply \( 140\times9 = 1260 \), then divide by 3: \( \frac{1260}{3}=420 \).

Answer:

420