Question

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.

Answer 1

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Answer 3

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Answer 4

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Answer 5

Since the formula for the volume of a square-based pyramid is 1/3 x b^2 x h, we plug in the values of the base and height. B = 705 and h = 471, so the equation is now 1/3 x 705^2 x 471. First, we have to multiply 705 x 705, because 705^2 is the same as multiplying 705 x 705. 705 x 705 = 497025, so now we multiply 1/3 x 497025. 1/3 x 497025 = 165675, so now we multiply 165675 x 471, which equals 78032925. So the answer is 78032925.