Difference between revisions of "1995 AHSME Problems/Problem 6"
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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? | 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? | ||
− | + | <asy> | |
+ | defaultpen(linewidth(0.7)); | ||
+ | path p=origin--(0,1)--(1,1)--(1,2)--(2,2)--(2,3); | ||
+ | draw(p^^(2,3)--(4,3)^^shift(2,0)*p^^(2,0)--origin); | ||
+ | draw(shift(1,0)*p, dashed); | ||
+ | label("$x$", (0.3,0.5), E); | ||
+ | label("$A$", (1.3,0.5), E); | ||
+ | label("$B$", (1.3,1.5), E); | ||
+ | label("$C$", (2.3,1.5), E); | ||
+ | label("$D$", (2.3,2.5), E); | ||
+ | label("$E$", (3.3,2.5), E);</asy> | ||
<math> \mathrm{(A) \ A } \qquad \mathrm{(B) \ B } \qquad \mathrm{(C) \ C } \qquad \mathrm{(D) \ D } \qquad \mathrm{(E) \ E } </math> | <math> \mathrm{(A) \ A } \qquad \mathrm{(B) \ B } \qquad \mathrm{(C) \ C } \qquad \mathrm{(D) \ D } \qquad \mathrm{(E) \ E } </math> |
Revision as of 19:47, 18 August 2011
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?
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 at all.
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
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 |