Question

The Great Pyramid of Giza is a square pyramid located by El Giza, Egypt. It is believed that the original height of the pyramid was 480.6 feet. The base is a square with side length of 755.9 feet. Find the volume of the original Great Pyramid of Giza. Explain your reasoning.

Answer 1

The volume of a square pyramid is found with this equation:

$V = \frac{b~l~h}{3}$

l = Base length

w = Base width

h = Pyramid height

Formula applied to our case:

$V = \frac{755.9 * 755.9 * 480.6}{3}$

$V = \frac{755.9^{2} * 480.6}{3}$

$V = \frac{5711504.81 * 480.6}{3}$

$V = \frac{2743235760,243}{3}$

$V = 914411920,081 f^{3}$

Hope it helped,

Happy homework/ sutdy/ exam!

Answer 2

Volume of a pyramid=1/3*base area*height
volume=1/3*(755.9*755.9)*480.6
volume=1/3*571384.81*480.6
volume=91535846.56ft cube