Problem:
Six squares are colored, front and back, . They are hinged together as shown, then folded to form a cube. The face opposite the white face is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
When is arranged to be the base, is the back face and is the front face. Thus, is opposite .
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Let be the top and fold , and down. Then will fold to become the back face and be opposite .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions