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(a) The great pyramid at Gizeh is 500 feet high, rising from a square base of side 750 feet. Compute its volume using integration. (b)

(a) The great pyramid at Gizeh is 500 feet high, rising from a square base of side 750 feet. Compute its volume using integration.

(b) Suppose that instead of completing a pyramid, the builders at Gizeh had stopped at height 250 feet (with a square plateau top of side 375 feet). Compute the volume of this structure. Explain why the volume is greater than half the volume of the pyramid in part (a).

500 feet 750 feet

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