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 \(8\) yd and width \(7\) yd. The area formula for a rectangle is \(A = l\times w\). So, \(A=8\times7 = 56\) \(yd^{2}\).

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base - area and \(h\) is the height. Here, \(A = 56\) \(yd^{2}\) and \(h=9\) yd. Then \(V=\frac{1}{3}\times56\times9\). First, calculate \(56\times9=504\). Then, \(\frac{1}{3}\times504 = 168\).

Answer:

\(168\) \(yd^{3}\)