Question:

The length, width and height of a rectangular box are consecutive integers, and the largest dimension is k cm.

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  1. Largest is k, so the other 2 must be k-1 and k-2 for them to be consecutive. You didn't mention what the questions was, I'll assume it's:

    What is the volume of a rectangular box whose sides are consecutive integers, and the largest dimension is k cm.

    The volume is k*(k-1)*(k-2)=(k^2 - k)*(k-2)

    =k^3 - 3k^2 + 2*k cm^3

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