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Answer: 1,352 small cubes. The original large cube with 16 small cubes along each edge would required 16 x 16 x 16 = 4,096 small cubes. Removing the outside layer would leave a large cube now with 14 small cubes along each edge (which requires 14 x 14 x 14 = 2,744 small cubes). It isn't 15 small cubes because you're removing both ends of an edge. Therefore you have removed 4,096 - 2,744 = 1,352 small cubes.
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You have a very large number of generic plastic building blocks, each in the shape of a cube.
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