1985 AMC 8 Problem 11

Attempt Problem 11 of the 1985 AMC 8 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 1985 AMC 8 solutions, or check the answer key.

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

11.

A piece of paper containing six joined squares labeled as shown is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled XX is
ZZ
UU
VV
WW
YY
Answer: E
Concepts:net (3D geometry)cube geometry
Small hint:
Pick one face to be the front and fold the rest of the net around it
Big hint:
If XX becomes the bottom face, track which square ends up on top
Solution:
Fold the net so that XX is the bottom face. Then U,U, V,V, W,W, and ZZ wrap around to become the four side faces.
The only remaining square, Y,Y, becomes the top face, which is opposite the bottom face X.X.
Thus, the correct answer is E .
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