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 \( l = 9\) in and width \( w=8\) in. The area of a rectangle is \(A = l\times w\). So, \(A=9\times8 = 72\) in².

Step2: Use the volume formula for a pyramid

The volume formula for a rectangular pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base - area and \(h = 9\) in (height of the pyramid). Substitute \(A = 72\) in² and \(h = 9\) in into the formula: \(V=\frac{1}{3}\times72\times9\). First, \(\frac{1}{3}\times72=24\), then \(24\times9 = 216\).

Answer:

\(216\) in³