Question

homework d.8.2
score: 11/25 answered: 13/25
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question 14
you wake up one morning, and find yourself wearing a toga and scarab ring. always a logical person, you
conclude that you must have become an egyptian pharoah. you decide to honor yourself with a pyramid of
your own design. you decide it should have height ( h = 2800 ) and a square base with side ( s = 1260 )
to impress your egyptian subjects, find the volume of the pyramid.

Explanation:

Step1: Find the area of the base

The base is a square with side \(s = 1260\). The area of a square is \(A=s^{2}\), so \(A=(1260)^{2}=1260\times1260 = 1587600\).

Step2: Use the formula for the volume of a pyramid

The formula for the volume of a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the area of the base and \(h\) is the height. Given \(h = 2800\) and \(A=1587600\).
Substitute the values into the formula: \(V=\frac{1}{3}\times1587600\times2800\).
First, \(\frac{1}{3}\times1587600 = 529200\).
Then, \(V=529200\times2800=1481760000\).

Answer:

\(1481760000\)