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iamba
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A cuboidal box whose external dimensions including the lid 17 Jun 2007, 17:58
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A cuboidal box whose external dimensions including the lid are 32 dm, 27 dm, 12 dm is made of wood 1 dm thick. What is the capacity of the box and what is the volume of wood used in it ?



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A cuboidal box whose external dimensions including the lid Updated on: 18 Jun 2007, 11:38
Originally posted by KillerSquirrel on 17 Jun 2007, 23:02.
Last edited by KillerSquirrel on 18 Jun 2007, 11:38, edited 3 times in total.
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this post was edited due to Andrey2010 comment:

volume of a box = x*y*z = 32*27*12 = 10,368

If the question was about a rectangular 32*27 (and not a box) it would be:

32*27 - 32*2 - 25*2 = 864 - 114 = 750

now:

when dealing with a box the logic is the same:

the volume of wood = 2*(32*25)+2*(27*10)+2*(12*30) = 2,860

10,368 - 2860 = 7,508

this is not a GMAT type question.

:-D
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A cuboidal box whose external dimensions including the lid 18 Jun 2007, 09:44
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Hi Killer

May be I'm wrong but I don't agree with you.

The volume of wood doesn't equal surface area * thickness. Here you have calculated 2 times every edges.

I propose that the valume of wood is:
2 sides * (27 dm * 32 dm ) * 1 dm + 2 sides * (32 dm * 10 dm) * 1 dm + 2 sides * (10 dm * 25 dm) = 2 868 dm3

10 368 - 2 868 = 7 500 dm3

It looks like GMAT question.

PS: If somebody needs details ask please.
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A cuboidal box whose external dimensions including the lid 18 Jun 2007, 10:45
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Hello Andrey2010

what I meant when argueing that this isn't a GMAT question:

1. You have two questions here 1. What is the volume of wood 2. What is the capacity of the box.

2. You have a lot of calculation - two much for 2 minutes.

3. This is very brute force type of question - not very elegant, you can see in OG that the GMAT is much more elegant.

4. You don't have any choices - is this DS or PS ?

Thank you for your solution - I see this is your first post - so I want to welcome you to the GMATCLUB - welcome !

:-D
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A cuboidal box whose external dimensions including the lid Updated on: 19 Jun 2007, 00:15
Originally posted by kevincan on 18 Jun 2007, 12:15.
Last edited by kevincan on 19 Jun 2007, 00:15, edited 1 time in total.
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iamba
A cuboidal box whose external dimensions including the lid are 32 dm, 27 dm, 12 dm is made of wood 1 dm thick. What is the capacity of the box and what is the volume of wood used in it ?
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Capacity = 30 x 25 x 15 = 750 x 10 = 7500
Voume of box = 32 x 27 x 12 =12 (30 +2)(30 -3)=12 (900 - 30 - 6)=12 x 864

Volume of wood = difference
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A cuboidal box whose external dimensions including the lid Updated on: 18 Jun 2007, 20:51
Originally posted by KillerSquirrel on 18 Jun 2007, 15:26.
Last edited by KillerSquirrel on 18 Jun 2007, 20:51, edited 1 time in total.
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I think Andrey2010 is right.

But can we solve this problem like this ?

Dimensions = 32*27*12

We only need the "inside" of the cubidal - meaning (32-2)*(27-2)*(12-2) = 7,500

this way we will get Andrey2010 solution faster.

whats the OA ?

:-D
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A cuboidal box whose external dimensions including the lid 18 Jun 2007, 15:59
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OA
7500 cu m and 2868 cu m

Andrey, can you explain why did you use 10 and 25 instead of 12 and 27 in your calculation for volume of wood?
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Caas
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A cuboidal box whose external dimensions including the lid 18 Jun 2007, 21:26
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we have to deduct 2 from 12 and 2 from 27 because the thickness of the wood mustn't be included?



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