Maths Olympiad Prep

Library / /127 of 413

, 2009

Geometry Difficulty 1.0 Junior Find the answer Canada

The number of faces (FF), vertices (VV) and edges (EE) of a polyhedron are related by the equation F+VE=2F + V - E = 2. If a polyhedron has 6 faces and 8 vertices, how many edges does it have?

(A) 1212 (B) 1414 (C) 1616 (D) 1818 (E) 1010

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.