2019 AMC 8

Complete problem set with solutions and individual problem pages

Problem 12 Medium

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?

  • A.

    \text{ red}

  • B.

    \text{ white}

  • C.

    \text{ green}

  • D.

    \text{ brown}

  • E.

    \text{ purple}

Answer:A

B is on the top, and R is on the side, and G is on the right side. That means that (image 2) W is on the left side. From the third image, you know that P must be on the bottom since G is sideways. That leaves us with the back, so the back must be A. The front is opposite of the back, so the answer is \boxed{\textbf{(A)}\ R}.

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