Stripping A Cube

During arts and crafts, you made a cube of side length 10, by using \(10 x 10 x 10=1000 \) smaller cubes. You enjoyed your handiwork and panted the exterior surface of your large cube red. The class bully came along and decided that he wanted all those painted cubes, so he removed (only) the outer layer of cubes.

How many cubes will remain?

Image credit: Flickr A. Drauglis
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