SOLUTION: A large cube, 5cm by 5cm by 5cm is painted orange an all six faces, and then it is cut into 125 small cubes, each 1cm by 1cm by 1cm. How many of the small cubes are not painted ora

Question 749935: A large cube, 5cm by 5cm by 5cm is painted orange an all six faces, and then it is cut into 125 small cubes, each 1cm by 1cm by 1cm. How many of the small cubes are not painted orange on any face?
(a)125
(b)64
(c)27
(d)24
(e)9
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
This is a giant cube made of 125 small cubes, 5x5x5.
The inner 3x3x3 cube has one layer covering it from any paint, so these cubes are paint-free, 3x3x3 is 27.
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