Difference between revisions of "2019 AMC 8 Problems/Problem 12"
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The faces of a cube are painted in six different colors: red <math>(R)</math>, white <math>(W)</math>, green <math>(G)</math>, brown <math>(B)</math>, aqua <math>(A)</math>, and purple <math>(P)</math>. Three views of the cube are shown below. What is the color of the face opposite the aqua face? | The faces of a cube are painted in six different colors: red <math>(R)</math>, white <math>(W)</math>, green <math>(G)</math>, brown <math>(B)</math>, aqua <math>(A)</math>, and purple <math>(P)</math>. Three views of the cube are shown below. What is the color of the face opposite the aqua face? | ||
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==Solution 1== | ==Solution 1== |
Revision as of 22:03, 29 October 2020
Contents
Problem
The faces of a cube are painted in six different colors: red , white , green , brown , aqua , and purple . Three views of the cube are shown below. What is the color of the face opposite the aqua face?
[[File:2019AMC8Prob12.png]
Solution 1
is on the top, and is on the side, and is on the right side. That means that (image ) is on the left side. From the third image, you know that must be on the bottom since is sideways. That leaves us with the back, so the back must be . The front is opposite of the back, so the answer is .~heeeeeeeheeeee
Solution 2
Looking closely we can see that all faces are connected with except for . Thus the answer is .
It is A, just draw it out! ~phoenixfire
Solution 3
Associated video - https://www.youtube.com/watch?v=K5vaX_EzjEM
Video Solution- https://youtu.be/Lw8fSbX_8FU ( Also explains problems 11-20)
Note
2019 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |
Only two of the cubes are required to solve the problem.