A cube of side 3 cm painted on all its faces,
Question:

 A cube of side 3 cm painted on all its faces, when sliced into 1 cu cm cubes, will have exactly 1 cube with none of its faces painted.

Solution:

True

Given, a cube of side 3 cm is painted on all its faces. Now, it is sliced into 1 cu cm cubes. Then, there will be 8 corner cubes that have 3 sides

painted, 6 centre cubes with only one side painted and only 1 cube in the middle that has no side painted.

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