Question

find the volume of this rectangular pyramid.
be sure to include the correct unit in your answer.
6 ft
3 ft
7 ft

Explanation:

Step1: Calculate the base area

The base is a rectangle with length \( l = 6\) ft and width \( w=3\) ft. The area of a rectangle \(A = l\times w\).
\(A=6\times3 = 18\) square feet.

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 \(h = 7\) ft (height of the pyramid).
Substitute \(A = 18\) and \(h=7\) into the formula: \(V=\frac{1}{3}\times18\times7\).
First, \(\frac{1}{3}\times18=6\). Then \(6\times7 = 42\).

Answer:

\(42\) \(ft^{3}\)