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# What is the volume of a rectangular solid? (1) The sum of

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Director
Joined: 04 Jan 2008
Posts: 818
What is the volume of a rectangular solid? (1) The sum of  [#permalink]

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28 Mar 2009, 09:25
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100% (03:10) correct 0% (00:00) wrong based on 1 sessions

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What is the volume of a rectangular solid?

(1) The sum of areas of any two of the faces of the solid is 50.
(2) The length of one of the sides is 5.

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Manager
Joined: 19 Aug 2006
Posts: 225

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28 Mar 2009, 09:46
nitya34 wrote:
What is the volume of a rectangular solid?

(1) The sum of areas of any two of the faces of the solid is 50.
(2) The length of one of the sides is 5.

I think it's A.
If the sum of areas of any 2 faces is 50, then it's a cube. Therefore, length, width and height equal 5 and therefore V = 5^3= 125.
Manager
Joined: 19 May 2008
Posts: 156
Location: Mumbai

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28 Mar 2009, 09:59
I was going to say it was E - still not convinced. Any more explanations? It's not B or D - that's for sure.
Director
Joined: 01 Apr 2008
Posts: 821
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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28 Mar 2009, 11:29
Great problem:)
50 can be split into 25+25 or 40+10 , etc..but only 25+25 is valid as the area of "Any" two sides is equal...so its a cube..i took some time to think...
nitya34 wrote:
Thanks
OA-A
peraspera wrote:
nitya34 wrote:
What is the volume of a rectangular solid?

(1) The sum of areas of any two of the faces of the solid is 50.
(2) The length of one of the sides is 5.

I think it's A.
If the sum of areas of any 2 faces is 50, then it's a cube. Therefore, length, width and height equal 5 and therefore V = 5^3= 125.
Manager
Joined: 19 May 2008
Posts: 156
Location: Mumbai

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28 Mar 2009, 11:39
I agree - it became clear after the explanation.

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Re: DS-rectangular solid &nbs [#permalink] 28 Mar 2009, 11:39
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