Question: A large cube is constructed from 1000 small, identical unit cubes. All six outer faces of the large cube are painted blue. The large cube

A large cube is constructed from 1000 small, identical unit cubes. All six outer faces of the large cube are painted blue. The large cube is then disassembled back into its 1000 unit cubes. How many of the small unit cubes have paint on exactly two of their faces? A. 84 B. 96 C. 108 D. 120 E. 144

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