Difference between revisions of "1995 AHSME Problems/Problem 6"

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==Problem==
 
==Problem==
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 ?  
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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?  
  
 
[[Image:1995 AHSME num. 6.png]]
 
[[Image:1995 AHSME num. 6.png]]

Revision as of 18:52, 29 April 2008

Problem

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?

1995 AHSME num. 6.png

$\mathrm{(A) \ A } \qquad \mathrm{(B) \ B } \qquad \mathrm{(C) \ C } \qquad \mathrm{(D) \ D } \qquad \mathrm{(E) \ E }$

Solution

The marked side is the side with the x. We imagine it folding up. First, we fold the x upwards. Now we fold the A upwards, and thus x is touching B on it's left side. We now fold B up, and we realize that x won't be touching $\boxed{\mathrm{(C)}}$ at all.

See also

1995 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions