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if the length of each edge of the rectangular solid above is [#permalink]
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04 Feb 2008, 20:21
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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



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Re: length of cube ? [#permalink]
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04 Feb 2008, 20:28
is there a diagram?



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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



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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



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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 345, or 51213 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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Re: length of cube ? [#permalink]
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18 Nov 2008, 13:10
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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 345, or 51213 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



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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 345, or 51213 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
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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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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 345, or 51213 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 ?
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