Difference between revisions of "1985 AJHSME Problem 11"
Coolmath34 (talk | contribs) (Created page with "== Problem == A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube. The label of the face o...") |
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<math>\text{(A)}\ \text{Z} \qquad \text{(B)}\ \text{U} \qquad \text{(C)}\ \text{V} \qquad \text{(D)}\ \ \text{W} \qquad \text{(E)}\ \text{Y}</math> | <math>\text{(A)}\ \text{Z} \qquad \text{(B)}\ \text{U} \qquad \text{(C)}\ \text{V} \qquad \text{(D)}\ \ \text{W} \qquad \text{(E)}\ \text{Y}</math> | ||
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| + | ==In-depth Solution by BoundlessBrain!== | ||
| + | https://youtu.be/iKLET1YL1b8 | ||
== Solution == | == Solution == | ||
Latest revision as of 14:57, 4 July 2023
Problem
A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled 
is
![[asy] draw((0,0)--(0,1)--(2,1)--(2,2)--(3,2)--(3,0)--(2,0)--(2,-2)--(1,-2)--(1,0)--cycle); draw((1,0)--(1,1)); draw((2,0)--(2,1)); draw((1,0)--(2,0)); draw((1,-1)--(2,-1)); draw((2,1)--(3,1)); label("U",(.5,.3),N); label("V",(1.5,.3),N); label("W",(2.5,.3),N); label("X",(1.5,-.7),N); label("Y",(2.5,1.3),N); label("Z",(1.5,-1.7),N); [/asy]](http://latex.artofproblemsolving.com/d/a/b/dab8416f1514dce5c2c075749bfab240c1e34b68.png)
In-depth Solution by BoundlessBrain!
Solution
Let 
be on the top face. Then 
and 
are the sides and 
is the bottom. The answer is 
