AMC8 1995
AMC8 1995 · Q21
AMC8 1995 · Q21. It mainly tests Casework, Geometry misc.
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?
一种塑料卡扣立方体在一面有一个突出的卡扣，其他五面有插孔，如图所示。要使卡在一起的立方体只露出插孔，需要的最小立方体数量是多少？
(A)
3
3
(B)
4
4
(C)
5
5
(D)
6
6
(E)
8
8
Answer
Correct choice: (B)
正确答案：（B）
Solution
Answer (B): Using one, two or three cubes always leaves one protruding snap showing. The smallest number of cubes is four, arranged as shown(view from above).
答案（B）：使用一、两或三块立方体时，总会留下一个突出的卡扣露在外面。所需立方体的最小数量是四块，按图所示排列（俯视图）。
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