Question

The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 6,495,743.83 cubic meters and a height of 191.5 meters. What is the length of one side of its base, to the nearest meter?

solve step by step

Answer 1

319 m

Explanation:

Let the side of the square base be x

Volume =
`(x^2h)/(3)`

`\implies x^2 = (3*Volume)/(h)`

`\implies x = \sqrt{(3*volume)/(h) }\\\\= \sqrt{(3*6495743.83)/(191.5) }\\\\= \sqrt{(19487231.49)/(191.5) }\\\\= √(101760.99994) \\\\= √(101761) \\\\= 319`