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 \( V=\frac{1}{3} \times \text{length} \times \text{width} \times \text{height} \). Here, the length \( l = 9\space\text{ft} \), the width \( w = 7\space\text{ft} \), and the height \( h = 6\space\text{ft} \).

Step2: Substitute the values into the formula

Substitute \( l = 9 \), \( w = 7 \), and \( h = 6 \) into the formula:
\( V=\frac{1}{3} \times 9 \times 7 \times 6 \)

First, calculate \( 9\times7 = 63 \), then \( 63\times6 = 378 \), and finally \( \frac{1}{3}\times378 = 126 \).

Answer:

\( 126\space\text{ft}^3 \)