The pyramids at Giza include several square-based pyramids that were built in honor of the Egyptian gods. One of these incredible monuments is the Khafre pyramid, built as part of a temple complex, with the famous Sphinx at its base. The base length of this pyramid is seven hundred five feet, and its height is four hundred seventy-one feet. Massive dimensions indeed! Calculate the volume of the Khafre pyramid. Show the steps of your solution and explain your work.

Question

anonymous · Answer

@mtbender74 can you help me with this question?

anonymous · Answer

let me take a look at it

anonymous · Answer

ok...so the volume of a pyramid is V = 1/3 * (area of the base) * h

(looks familiar?)

the base is a square with side length 705 and the height is 471.

anonymous · Answer

can you take it from there?

anonymous · Answer

hold on let me think about this

anonymous · Answer

so the base is 705 so its v = 1/3 * 705 * 471 correct?

anonymous · Answer

almost...the base length is 705...but the area of a square is s^2.

so you need to square the 705

anonymous · Answer

how do i do0 that

anonymous · Answer

705 * 705

anonymous · Answer

so 497025

anonymous · Answer

that's the area of the base...now put it into the formula

anonymous · Answer

the number is going to be big :)

anonymous · Answer

so now it would be V = 1/3 * 497025 * 471

anonymous · Answer

which equals?

anonymous · Answer

well then it would go V = 1/3 * 2.3409877.... i think this is wrong..

anonymous · Answer

497025 * 471 = 234098775...

divide this by 3 (which is the same as multiplying by 1/3)...

anonymous · Answer

78032925?

anonymous · Answer

looks good

anonymous · Answer

okay so thats the final answer? 78032925

anonymous · Answer

cubic ft., yes