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 \( l = 8\space m \) and width \( w=7\space m \). The area of a rectangle \( A = l\times w \).
\( A=8\times7 = 56\space m^{2} \)

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 \( A = 56\space m^{2} \) and \( h = 8\space m \).
\( V=\frac{1}{3}\times56\times8=\frac{448}{3}\approx149.33\space m^{3} \)

Answer:

\(\frac{448}{3}\space m^{3}\) (or approximately \(149.33\space m^{3}\))