1985 AJHSME Problems/Problem 11
Problem
A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled is
Solution
To find the face opposite , we can find the faces sharing an edge with
, so the only face remaining will be the opposite face.
Clearly, and
share an edge with
. Also, the faces
,
, and
share a common vertex, therefore
shares an edge with
. Similarly, the faces
,
, and
share a common vertex, so
shares an edge with
.
The only face doesn't share an edge with is
, which is choice
See Also
1985 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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