Question

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 1020 and a square base with side s = 2400 To impress your Egyptian subjects, find the volume of the pyramid.

Answer 1

Given:

height, h = 1020 units

side of base, s = 2400 units

Required :

Volume of the Pyramid, V

Solution:

$V=\frac{1}{3}Bh$

where B is the area of the base and h is the height of the pyramid.

Since the base of the pyramid is a square,

$B=s^2$

Therefore,

$\begin{gathered} V=\frac{1}{3}s^2h \\ V=\frac{1}{3}(2400)^2(1020) \\ V=1,958,400,000cubic.units \end{gathered}$

Answer:

The volume of the pyramid is 1,958,400,000 cubic units.