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You have a big wooden cube that's painted red on all six sides. After splitting the cube into smaller parts as shown below, you are left with 27 cubes identical in size but varying in the number of red sides per cube.
How many of these 27 small cubes have just one of their six sides painted red?
Think about where a cube has to be situated in the larger structure in order to only have one red side.
If you can dissect the block in your head in the way shown above, the answer is easy enough to come by.
As you can see, the number of small cubes with one side painted red is six, one for each face of the larger block.
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