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

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Director
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What is the volume of a rectangular solid? (1) The sum of [#permalink]

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New post 28 Mar 2009, 09:25
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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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Kudos [?]: 731 [1], given: 17

Manager
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Re: DS-rectangular solid [#permalink]

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New post 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.

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Manager
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Joined: 19 May 2008
Posts: 163

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Location: Mumbai
Re: DS-rectangular solid [#permalink]

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New post 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.

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Director
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Name: Ronak Amin
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Re: DS-rectangular solid [#permalink]

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New post 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.

Kudos [?]: 813 [0], given: 18

Manager
Manager
avatar
Joined: 19 May 2008
Posts: 163

Kudos [?]: 12 [0], given: 0

Location: Mumbai
Re: DS-rectangular solid [#permalink]

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

Kudos [?]: 12 [0], given: 0

Re: DS-rectangular solid   [#permalink] 28 Mar 2009, 11:39
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What is the volume of a rectangular solid? (1) The sum of

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