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You are given a 10x10x10 cube composed of one thousand 1x1x1 "mini-cubes" glued together. If the outer most layer falls off, how many "mini-cubes" would have fallen off?

?

 [Ref: ZVPY]

488.

You started with 10x10x10 = 1000 cubes. The outer layer falling off will leave you with 8x8x8 = 512 cubes, which means 488 cubes have fallen off.

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