Difference between revisions of "2019 AMC 8 Problems/Problem 12"
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[[File:2019AMC8Prob12.png]] | [[File:2019AMC8Prob12.png]] | ||
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+ | <math> \textbf{(A)}\ \text{red}\qquad\textbf{(B)}\ \text{white}\qquad\textbf{(C)}\ \text{green}\qquad\textbf{(D)}\ \text{brown}\qquad\textbf{(E)}\ \text{purple} </math> | ||
==Solution 1== | ==Solution 1== | ||
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It is A, just draw it out! | It is A, just draw it out! | ||
~phoenixfire | ~phoenixfire | ||
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+ | ==Solution Explained== | ||
+ | https://youtu.be/gOZOCFNXMhE ~ The Learning Royal | ||
==Solution 3== | ==Solution 3== | ||
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Solution detailing how to solve the problem: https://www.youtube.com/watch?v=VXBqE-jh2WA&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL&index=13 | Solution detailing how to solve the problem: https://www.youtube.com/watch?v=VXBqE-jh2WA&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL&index=13 | ||
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+ | ==Video Solution== | ||
+ | https://youtu.be/dru7MQO6jqs | ||
+ | |||
+ | ~savannahsolver | ||
==See also== | ==See also== | ||
{{AMC8 box|year=2019|num-b=11|num-a=13}} | {{AMC8 box|year=2019|num-b=11|num-a=13}} | ||
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Latest revision as of 11:35, 26 January 2022
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?
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 .
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 Explained
https://youtu.be/gOZOCFNXMhE ~ The Learning Royal
Solution 3
Associated video - https://www.youtube.com/watch?v=K5vaX_EzjEM
Video Solution
Solution detailing how to solve the problem: https://www.youtube.com/watch?v=VXBqE-jh2WA&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL&index=13
Video Solution
~savannahsolver
See also
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 |