Reasoning
The original large cube with 16 small cubes along each edge would require 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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Puzzle 199
Each of the following sets of letters can be made into a real word by adding three letters to the beginning, and the same three letters in the same order to the end. ertainmiscoverowioxidrocos
For example:
iperspir
??? + iperspir + ???
ant + iperspir + ant
antiperspirant