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# if the length of each edge of the rectangular solid above is

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Manager
Joined: 23 Jan 2008
Posts: 108
if the length of each edge of the rectangular solid above is [#permalink]

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04 Feb 2008, 20:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

if the length of each edge of the rectangular solid above is an integer, then the sum of the lengths of all the solid is necessarily divisible by which of the following ?

1. 3
2. 4
3. 5
4. 7
5. 11
Manager
Joined: 26 Dec 2007
Posts: 70
Re: length of cube ? [#permalink]

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04 Feb 2008, 20:28
is there a diagram?
Manager
Joined: 26 Dec 2007
Posts: 70
Re: length of cube ? [#permalink]

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04 Feb 2008, 20:32
Not sure what the diagram provides in terms of info. The OA is either 3 or 4

we know that a cube has 12 sides, so

12*X(we know this is an integer)

i.e. 12 x 1=12
12 x 2 = 24
12 x 3 = 36

Based on what we know, either 3 or 4 can be divided into this number
Manager
Joined: 28 Apr 2008
Posts: 110
Re: length of cube ? [#permalink]

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18 Nov 2008, 04:48
A

3,4,5 --> 3+4+5=12 --> 3 or 4

5,12,13 --> 5+12+13=30--> 3 only

thus, A
SVP
Joined: 30 Apr 2008
Posts: 1855
Location: Oklahoma City
Schools: Hard Knocks
Re: length of cube ? [#permalink]

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18 Nov 2008, 08:46
I'm not sure why you're summing different numbers. The question states that this is a rectangular solid, and the dimensions do not have to follow typical 3-4-5, or 5-12-13 dimensions. We also don't know that the answer will be 3 or 4 because this does not say the rectangular solid is a cube. If it were a cube, then yes, the answer would certainly be 3 or 4, but without knowing that this is a cube, we can't know this for sure.

All information is Insufficent to answer this question.

rino wrote:
A

3,4,5 --> 3+4+5=12 --> 3 or 4

5,12,13 --> 5+12+13=30--> 3 only

thus, A

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J Allen Morris
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Manager
Joined: 23 Jul 2008
Posts: 189
Re: length of cube ? [#permalink]

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18 Nov 2008, 13:10
3
KUDOS
jallenmorris wrote:
I'm not sure why you're summing different numbers. The question states that this is a rectangular solid, and the dimensions do not have to follow typical 3-4-5, or 5-12-13 dimensions. We also don't know that the answer will be 3 or 4 because this does not say the rectangular solid is a cube. If it were a cube, then yes, the answer would certainly be 3 or 4, but without knowing that this is a cube, we can't know this for sure.

All information is Insufficent to answer this question.

rino wrote:
A

3,4,5 --> 3+4+5=12 --> 3 or 4

5,12,13 --> 5+12+13=30--> 3 only

thus, A

i guess q is asking for a cuboid hence the sum of all side will be

4(L+B+H)==> divissible by 4
SVP
Joined: 30 Apr 2008
Posts: 1855
Location: Oklahoma City
Schools: Hard Knocks
Re: length of cube ? [#permalink]

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18 Nov 2008, 13:26
That's a great point. I agree with your answer. It seems that it MIGHT ALSO be divisible by 3 if the cuboid turns out to be an actual cube with 6 equal sides (12 equal edges), but we know it MUST be divisble by 4 for the reason you mentioned.

Kudos.

hibloom wrote:
jallenmorris wrote:
I'm not sure why you're summing different numbers. The question states that this is a rectangular solid, and the dimensions do not have to follow typical 3-4-5, or 5-12-13 dimensions. We also don't know that the answer will be 3 or 4 because this does not say the rectangular solid is a cube. If it were a cube, then yes, the answer would certainly be 3 or 4, but without knowing that this is a cube, we can't know this for sure.

All information is Insufficent to answer this question.

rino wrote:
A

3,4,5 --> 3+4+5=12 --> 3 or 4

5,12,13 --> 5+12+13=30--> 3 only

thus, A

i guess q is asking for a cuboid hence the sum of all side will be

4(L+B+H)==> divissible by 4

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

SVP
Joined: 29 Aug 2007
Posts: 2457
Re: length of cube ? [#permalink]

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18 Nov 2008, 21:43
blog wrote:
if the length of each edge of the rectangular solid above is an integer, then the sum of the lengths of all the solid is necessarily divisible by which of the following ?

1. 3
2. 4
3. 5
4. 7
5. 11

intresting question:

length = l
bredth = b
height = h

since the solid is a ractangular, sum = 4 h + 4 L + 4B = 4 (l + b + h)
so the sum should be divisible by 4 no matter the value of l, b, and h.
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Manager
Joined: 28 Apr 2008
Posts: 110
Re: length of cube ? [#permalink]

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21 Nov 2008, 06:21
jallenmorris wrote:
I'm not sure why you're summing different numbers. The question states that this is a rectangular solid, and the dimensions do not have to follow typical 3-4-5, or 5-12-13 dimensions. We also don't know that the answer will be 3 or 4 because this does not say the rectangular solid is a cube. If it were a cube, then yes, the answer would certainly be 3 or 4, but without knowing that this is a cube, we can't know this for sure.

All information is Insufficent to answer this question.

rino wrote:
A

3,4,5 --> 3+4+5=12 --> 3 or 4

5,12,13 --> 5+12+13=30--> 3 only

thus, A

u're right, i red it wrong- i thought it was a triangular solid....

thanks, Rino
Re: length of cube ?   [#permalink] 21 Nov 2008, 06:21
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# if the length of each edge of the rectangular solid above is

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