Question

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

Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular pyramid is given by the formula \( V=\frac{1}{3}lwh \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the pyramid.

Step2: Identify the values of \( l \), \( w \), and \( h \)

From the diagram, we can see that the length \( l = 9\) yd, the width \( w = 6\) yd, and the height \( h = 8\) yd.

Step3: Substitute the values into the formula

Substitute \( l = 9 \), \( w = 6 \), and \( h = 8 \) into the formula \( V=\frac{1}{3}lwh \).

$$
LATEXBLOCK0
$$

The unit for volume is cubic yards, so the volume is \( 144\) cubic yards or \( 144\space yd^{3}\).

Answer:

\( 144\space yd^{3} \)