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AIME 2008b Problem 3

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A block of cheese in the shape of a rectangular solid measures 1010 cm by 1313 cm by 1414 cm. Ten slices are cut from the cheese. Each slice has a width of 11 cm and is cut parallel to one face of the cheese. The individual slices are not necessarily parallel to each other. What is the maximum possible volume in cubic cm of the remaining block of cheese after ten slices have been cut off?

Dataset text AIME 1983 to 2026. Quoted with source.

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