Problem:
A plastic snap-together cube has a protruding snap on one side and receptacle holes on the other five sides as shown. What is the smallest number of these cubes that can be snapped together so that only receptacle holes are showing?
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Answer Choices:
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Solution:
Using one, two or three cubes always leaves one protuding snap showing. The smallest number of cubes is four, arranged as shown (viewed from above).
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions