You are given a 10x10x10 cube composed of one thousand 1x1x1 mini-cubes glued together.
If you removed the outermost layer, how many mini-cubes would you have removed?
If you removed the outermost layer, how many mini-cubes would you have removed?
Answer: 488.
You started with 10x10x10 = 1000 cubes.
Removing the outermost layer would leave a 8x8x8 large cube = 512 cubes.
Therefore you would have removed 488 cubes (1000 - 512 = 488).
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