Question

24 multiple choice 1 point a museum has a model of an egyptian pyramid. it has a rectangular base that is 10 feet by 8 feet, with a height of 12 feet. what is the volume of the pyramid? 100 cubic feet 350 cubic feet 960 cubic feet 320 cubic feet

Explanation:

Step1: Calculate the area of the base

The base is a rectangle. The area formula for a rectangle is \(A = l\times w\), where \(l = 10\) feet and \(w = 8\) feet. So, \(A=10\times8 = 80\) 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 \(h\) is the height. Here, \(A = 80\) square feet and \(h = 12\) feet. Then \(V=\frac{1}{3}\times80\times12\). First, calculate \(80\times12=960\), then \(V=\frac{960}{3}=320\) cubic feet.

Answer:

320 cubic feet