Practice question
Question
A cube whose two adjacent faces are coloured is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
Explanation
Two adjacent faces painted cover 16 plus 16 minus 4 overlapping edge cubes equals 28 painted small cubes. Subtracting from total 64 leaves 36 cubes untouched on any face. Formula total minus painted faces plus overlapping correction yields uncoloured count.
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