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MathNet 2015-part-05 — 191 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 150

We cut off all five of the vertices of an equilateral pyramid with edge length of $5$ cm, so that all the edges of the cut off small pyramids are shorter than $1$ cm. Which of the listed polygons is not a face of the resulting polyhedron?
(A) triangle
(B) quadrilateral
(C) pentagon
(D) hexagon
(E) octagon

Question illustration