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UKMT Intermediate Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

When a cube is cut into two pieces with a single plane cut, two polyhedra are obtained. Which of these polyhedra cannot be obtained in this way?

(A) A polyhedron with 4 faces (B) A polyhedron with 5 faces (C) A polyhedron with 6 faces (D) A polyhedron with 7 faces (E) A polyhedron with 8 faces

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