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AIME 2004b Problem 3

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A solid rectangular block is formed by gluing together NN congruent 1-cm cubes face to face. When the block is viewed so that three of its faces are visible, exactly 231231 of the 1-cm cubes cannot be seen. Find the smallest possible value of N.N.

Dataset text AIME 1983 to 2026. Quoted with source.

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384

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