2023 AMC 8
Complete problem set with solutions and individual problem pages
A regular octahedron has eight equilateral triangle faces with four faces meeting at each vertex. Jun will make the regular octahedron shown on the right by folding the piece of paper shown on the left. Which numbered face will end up to the right of ?
- A.
- B.
- C.
- D.
- E.
Solution 1
We color face red and face yellow. Note that from the octahedron, face and face do not share anything in common. From the net, face shares at least one vertex with all other faces except face which is shown in green:
Therefore, the answer is
Solution 2
We label the octohedron going triangle by triangle until we reach the triangle. The triangle to the left of the should be labeled with a . Underneath triangle is triangle . The triangle to the right of triangle is triangle and further to the right is triangle . Finally, the side of triangle under triangle is , so the triangle to the right of is .
