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by kanha81 » Fri May 29, 2009 12:18 pm
A cube is indicated by an edge, a face, and two vertices of a cube. If e, f, and v denote the number of edges, faces, and vertices, respectively, of a cube, which of the following is true?

(A) e + f = v + 8
(B) e + f = v + 6
(C) e + f = 20 - v
(D) e - f = v - 2
(E) e – f = v/2

I do know the following stats about cube:
e=24
f=6
v=?[/img]
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Source: — Problem Solving |

by kanha81 » Fri May 29, 2009 12:26 pm
I JUST FIGURED THIS OUT!

f = 6
e = 24/2 because each face shared two edges = 12
v = 48/6 because there are six faces = 8

e-f = 12-6 = 6 = v-2 = 8-2 = 6
[spoiler][D][/spoiler]
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by truplayer256 » Fri May 29, 2009 12:29 pm
That's correct.
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by Domnu » Fri May 29, 2009 1:41 pm
D is automatically true... Euler's theorem for polyhedra.
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