11(3) nerds and a camera

Team: 
11 (3) Nerds and a Camera
Topic: Solid Geometry
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23. Each face of a 5x5x5 cube is painted red. The cube is cut into 125 cubes. How many of the cubes have no sides painted. It is explained in depth and with examples and visual representations in this video.

Common Core Standards: 7.G.6
Problem #: 
23 (2011-2012)
Problem Difficulty Level: 3 [?]