1995 AMC 12 Problem 6

Attempt Problem 6 of the 1995 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

6.

The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?x?
AA
BB
CC
DD
EE
Answer: C
Concepts:cube netsspatial reasoning
Small hint:
Hold face AA fixed and fold each neighboring square by 90∘90^\circ
Big hint:
Track the outward normal direction of each face as you move through the net
Solution:
Hold AA as the front face. Folding makes xx the left face and BB the top face. The face C,C, attached to the right of B,B, then folds to the right face, opposite x.x. Thus the correct answer is C.
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