Question

The largest of the Great Pyramids in Egypt was built with a square base, having edges that measured 754 feet and a height of 418 feet. To the nearest cubic foot, what was the volume of the original structure?

Answer 1

79,213,229 ft3

Explanation:

The volume of a pyramid is given by the following formula:

Volume = (1/3) * B * h

Where B is the base area and h is the height.

The side of the base is 754 feet, so the base area is:

B = 754^2 = 568516 ft2

Then, the volume of the pyramid is:

Volume = (1/3) * 568516 * 418 = 79213229.33 ft3

Rounding to the nearest cubic foot, we have:

Volume = 79,213,229 ft3