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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, 22:42
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A
B
C
D
E

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  35% (medium)

Question Stats:

52% (00:38) correct 48% (00:47) wrong based on 56 sessions

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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, 22:46
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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, 23:02
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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!
(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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Re: If a pyramid has 4 vertices and 4 faces, how many edges does the pyram  [#permalink]

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New post 02 Feb 2019, 03:49
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point to note here is that its not a square pyramid as it has 4 faces.
hence the edges will be only 6. (D)
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Re: If a pyramid has 4 vertices and 4 faces, how many edges does the pyram   [#permalink] 02 Feb 2019, 03:49
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