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How many faces does the solid have?

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sunilgupta
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How many faces does the solid have? [#permalink] New post   27 Jul 2007, 05:26
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Q. How many faces does the solid have?

1) The solid has 10 edges.
2) The solid has 12 edges.



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Re: How many faces does the solid have? [#permalink] New post   27 Jul 2007, 05:49
Hi
I believe that A is correct
STMNT 1 tells us that the fiqure is a pyramid with base that has 5 edges and the solid has 6 sides
Stmnt 2 the figure can be a pyramid with 7 sides or a cube with 6 sides so stmnt 2 is insufficient
A
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Re: How many faces does the solid have? [#permalink] New post   28 Jul 2007, 05:26
BG wrote:
Hi
I believe that A is correct
STMNT 1 tells us that the fiqure is a pyramid with base that has 5 edges and the solid has 6 sides
Stmnt 2 the figure can be a pyramid with 7 sides or a cube with 6 sides so stmnt 2 is insufficient
A


Do we have any formula for calculating this...
Eulers formula is there which is
No. of Faces + No. of Vertices = No. of Edges + 2...right...

This doesnt apply here but...

Sunil
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Re: How many faces does the solid have? [#permalink] New post   28 Jul 2007, 06:12
I guess it is E.......we need more information to solve this.
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Re: How many faces does the solid have? [#permalink] New post   28 Jul 2007, 09:00
sunilgupta wrote:
BG wrote:
Hi
I believe that A is correct
STMNT 1 tells us that the fiqure is a pyramid with base that has 5 edges and the solid has 6 sides
Stmnt 2 the figure can be a pyramid with 7 sides or a cube with 6 sides so stmnt 2 is insufficient
A


Do we have any formula for calculating this...
Eulers formula is there which is
No. of Faces + No. of Vertices = No. of Edges + 2...right...

This doesnt apply here but...

Sunil


A. BG has done it nicely.

its a solid: so there are n sides, total edges are 3n (if triangle) and 2n if pyramid.

1: since 10 is not divisible by 3, it should be a pyramid.
2: since 12 is divisible by 2 and 3, it could be either a pyramid or a 4 sided ractanle solid.

Nice question. I never thought this one but its a good learning in the morning.
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Re: How many faces does the solid have? [#permalink] New post   28 Jul 2007, 23:29
a cube is also solid so how does that fit in here.....
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Re: How many faces does the solid have? [#permalink] New post   29 Jul 2007, 21:42
sunilgupta wrote:
Q. How many faces does the solid have?

1) The solid has 10 edges.
2) The solid has 12 edges.





intresting to know about the faces. agree with A.
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Re: How many faces does the solid have? [#permalink] New post   30 Jul 2007, 05:54
Straight up E.

A 'face' is not defined in geometry, only in graph theory.

Euler's relation: V - E + F = 2
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Re: How many faces does the solid have? [#permalink] New post   01 Aug 2007, 21:34
sunilgupta wrote:
Q. How many faces does the solid have?

1) The solid has 10 edges.
2) The solid has 12 edges.


The problem does not specify whether the solid is regular or not. As it is written, the answer should be E.



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Re: How many faces does the solid have? [#permalink]
01 Aug 2007, 21:34
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