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Studying up for interviews and going through these questions.
8.Given a cube of size n*n*n (i.e made up of n^3 smaller cubes), find the number of smaller cubes on the surface. Extend this to k-dimension.
I don’t understand the question very well. For one side, we’ll have n^2 number of cubes on the surface. And there are 6 sides on a cube, so is the answer just 6n^2? That seems too simple to me. Any help would be appreciated.
If you have a cube that is 4x4x4, so it would contain 64 cubes of size 4, how many of these cubes are on the surface?
I would do it for 3 and 4, then come up with an equation, and test with 5.
Basically, how many of the cubes don’t touch the surface is another way to look at it.