2019 AMC 8 Problems/Problem 12
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 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
Looking closely we can see that all faces except for are connected with
. Thus the answer is
.
~phoenixfire
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.