Question

1. find the volume of the figure: 7.5 ft, 11 ft, 24 ft

Explanation:

Step1: Identify the formula for the volume of a pyramid

The volume \( V \) of a 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 pyramid is a rectangle with length \( l = 24\) ft and width \( w = 11\) ft. The area of a rectangle is \( B=l\times w \). So, \( B = 24\times11=264\) square feet.

Step3: Substitute the values into the volume formula

We know the height of the pyramid \( h = 7.5\) ft. Substituting \( B = 264\) and \( h = 7.5\) into the formula \( V=\frac{1}{3}Bh \), we get \( V=\frac{1}{3}\times264\times7.5 \).

Step4: Perform the calculations

First, calculate \( \frac{1}{3}\times264 = 88 \). Then, multiply \( 88\times7.5 = 660 \).

Answer:

The volume of the figure is \( 660 \) cubic feet.