SOLUTION: A tiny rectangular prism with sides of 21 mm by 24 mm by 36 mm is covered with enamel and then cut into small cubes with sides of 3 mm. How many of the cubes have enamel on just o

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Question 1172768: A tiny rectangular prism with sides of 21 mm by 24 mm by 36 mm is covered with enamel and then cut into small cubes with sides of 3 mm. How many of the cubes have enamel on just one side?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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It is well known entertainment problem, so I will give you only HINT to solve it.


            HINT :   They are the cubes at the surface that are  3  mm or more apart from each edge.

            So, consider a square grid at each face and calculate the number of appropriate square cells at each face.