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 \(6\) yd and width \(3\) yd. The area of a rectangle \(A = l\times w\), so \(A=6\times3 = 18\) yd².

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 \(A = 18\) yd² and \(h = 6\) yd. Then \(V=\frac{1}{3}\times18\times6\).
First, \(\frac{1}{3}\times18 = 6\), then \(6\times6=36\).

Answer:

\(36\) yd³