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I was asked a brain teaser at the end of the interview: you have a cube of 10*10*10 little cubes. How many cubes are left after you remove all the cubes on the edge.

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8*8*8 = 512

First, remove the 8 corner cubes, since each corner cube is common for 3 edges. 8 removed Next, remove the cubes on the 12 edges. With the corners removed, each edge will have 8 cubes 12 * 8 = 96 removed Total number of cubes = 10*10*10 = 1000 Number of cubes removed = 8 + 96 = 104 Number of cubes remaining = 1000 - 104 = 896

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