¶ 2003 AMC 12A Problem 13
Problem:
The polygon enclosed by the solid lines in the figure consists of 4 congruent squares joined edge-to-edge. One more congruent square is attached to an edge at one of the nine positions indicated. How many of the nine resulting polygons can be folded to form a cube with one face missing?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If the polygon is folded before the fifth square is attached, then edges and must be joined, as must and . The fifth face of the cube can be attached at any of the remaining edges.\
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions