Problem 23 · 2013 Math Kangaroo
Stretch
Spatial & Visual Reasoning
cube-viewspaper-cutting
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Answer: A
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Hint 1 of 2
Each corner cut is a plane through the three neighbours of that vertex.
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Hint 2 of 2
Picture what symmetric solid is left around the cube's centre.
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Approach: visualise the central solid after corner cuts
- Slicing off all eight corners with planes through neighbouring vertices meets at the face centres.
- The leftover central piece has six vertices (one per face) and eight triangular faces.
- That solid is a regular octahedron: A.
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