Geometry · Solid geometry · Polyhedra · Truncation · Faces of a solid
Every edge of a certain pyramid has length \(5\) cm, and the pyramid has five vertices in all, so its base is a square. All five vertices are sliced off, each by a single plane, and the cuts are made so small that every edge of each of the five little pyramids removed is shorter than \(1\) cm. Which of the polygons listed below is not a face of the solid that remains?
- A triangle
- B quadrilateral
- C pentagon
- D hexagon
- E octagon
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2015, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source