Question

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?

red

white

green

brown

purple

Video solution:

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Written solution:

Using the first and third cubes, we can see that brown is opposite purple.

Similarly, with the first and second cubes, we see that green and white are opposites.

The only color left to pair with aqua is red, so aqua and red are opposite faces.

Thus, the correct answer is A.

2019 AMC 8 Problem 12

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Written solution:

Problem 12 in Other Years