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# How many faces does the solid have?

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Intern
Joined: 26 Aug 2006
Posts: 25
How many faces does the solid have? [#permalink]

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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.
Director
Joined: 13 Nov 2003
Posts: 789
Location: BULGARIA

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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
Intern
Joined: 26 Aug 2006
Posts: 25

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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
Manager
Joined: 07 Jul 2007
Posts: 124

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28 Jul 2007, 06:12
Director
Joined: 26 Feb 2006
Posts: 899

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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.
Manager
Joined: 07 Jul 2007
Posts: 124

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28 Jul 2007, 23:29
a cube is also solid so how does that fit in here.....
Director
Joined: 03 May 2007
Posts: 872
Schools: University of Chicago, Wharton School

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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.
Director
Joined: 31 Mar 2007
Posts: 576

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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
Senior Manager
Joined: 24 Nov 2006
Posts: 349

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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.
Re: DS: Solid Faces   [#permalink] 01 Aug 2007, 21:34
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