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 (R), white (W), green (G), brown (B), aqua (A), and purple (P). 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 (R), white (W), green (G), brown (B), aqua (A), and purple (P). Three views of the cube are shown below. What is the color of the face opposite the aqua face? | ||
| − | <math>A) | + | [[File:2019AMC8Prob12.png]] |
| − | + | <math>\textbf{(A) }Red\qquad\textbf{(B) }White\qquad\textbf{(C) }Green\qquad\textbf{(D) }Brown\qquad\textbf{(E) }Purple</math> | |
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==Solution 1== | ==Solution 1== | ||
Revision as of 13:01, 21 November 2019
Problem
The faces of a cube are painted in six different colors: red (R), white (W), green (G), brown (B), aqua (A), and purple (P). 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 2)
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
| 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 | ||
