Question

find the volume of this rectangular pyramid.
be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate the base area

The base is a rectangle with length \( l = 6\) ft and width \( w = 5\) ft. The area of the base \( B\) is given by \( B=l\times w\).

$$B = 6\times5=30\,\text{ft}^2$$

Step2: Use the volume formula for a pyramid

The volume \( V\) of a pyramid is \( V=\frac{1}{3}Bh\). Here, we assume the height \( h = 8\) ft (assuming the given \( 8\) ft is the height of the pyramid).

$$V=\frac{1}{3}\times30\times8$$

$$V = 10\times8$$

$$V=80\,\text{ft}^3$$

Answer:

\(80\,\text{ft}^3\)