alleryA polyhedron has 12 edges and 8 corners. How many faces must it have?
A6
B8
C4
D10
Answer & Solution
Correct answer: A. 6
1. Euler's formula says F + V - E = 2.
2. Put V = 8 and E = 12: F + 8 - 12 = 2.
3. So F = 2 + 12 - 8 = 6.
_Source: Math Is Fun, Vertices, Edges and Faces (mathsisfun.com/geometry/vertices-faces-edges.html), Euler's Formula_
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