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 \( l = 7\space m\) and width \( w=5\space m\). The area of a rectangle \(A = l\times w\).
\(A = 7\times5=35\space m^{2}\)

Step2: Use the volume formula for a rectangular pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h = 6\space m\) is the height.
Substitute \(A = 35\space m^{2}\) and \(h = 6\space m\) into the formula:
\(V=\frac{1}{3}\times35\times6\)
First, calculate \(35\times6 = 210\), then \(\frac{1}{3}\times210=70\)

Answer:

\(70\space m^{3}\)