A large cube is made up of a number of identical small cubes. The number of small cubes that touch four other small cubes face-to-face is 168.How many small cubes make up the large cube?
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The side of the cube is N. The area is so , there are 4 cubes on each side
To make this cube "one cube longer" we have to add one cube at both ends of a side , the new cube will have an area of cubes.
The difference in the areas will be the number of cubes we've added:
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