(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).

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500 feet 750 feet 500 feet 750 feet

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