1995 AHSME Problems/Problem 6

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 ?

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

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.

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1995 AHSME Problems/Problem 6

Problem

Solution

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