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If a pyramid has 4 vertices and 4 faces, how many edges does the pyram

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If a pyramid has 4 vertices and 4 faces, how many edges does the pyram  [#permalink]

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New post 06 Dec 2017, 21:42
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Re: If a pyramid has 4 vertices and 4 faces, how many edges does the pyram  [#permalink]

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New post 06 Dec 2017, 21:46
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If a pyramid has 4 vertices and 4 faces, how many edges does the pyram  [#permalink]

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New post 10 Dec 2017, 22:02
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Bunuel wrote:
If a pyramid has 4 vertices and 4 faces, how many edges does the pyramid have?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

A Euler formula! And Descartes!
(I'm not a math maven. This one is important.)

For all convex polyhedrons (3-D solids with flat faces, straight edges, and pointed corners):

The number of vertices and faces, together, is exactly two more than the number of edges.

The formula is typically written this way:
V - E + F = 2

I write it this way:
V + F - E = 2

Here, given, V = 4, F = 4

So the number of edges of the pyramid is

V + F - E = 2
4 + 4 - E = 2
8 - 2 = E
E = 6

The pyramid has six edges.

Answer D
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If a pyramid has 4 vertices and 4 faces, how many edges does the pyram &nbs [#permalink] 10 Dec 2017, 22:02
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