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# What is the volume of a certain rectangular solid? (1) Two

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Manager
Joined: 22 Jul 2006
Posts: 50

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What is the volume of a certain rectangular solid? (1) Two [#permalink]

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21 Jul 2007, 21:02
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What is the volume of a certain rectangular solid?
(1) Two adjacent faces of the solid have areas 15 and 24, respectively.
(2) Each of two opposite faces of the solid has area 40

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VP
Joined: 08 Jun 2005
Posts: 1144

Kudos [?]: 239 [0], given: 0

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21 Jul 2007, 21:22
the volume of a rectangular solid is x*y*z where x,y,z are the dimensions.

statement 1

Since we know that the suface of one side is 15 and the adjacent side is 24 the dimensions can be 5*3 and 3*8 or 6*2.5 and 6*4.

the volume is either 5*3*8 = 120 or 2.5*6*4 = 60

insufficient.

statement 2

only one side is given clearly insufficient

statement 1&2

since we have all three sides we can determain the volume of the rectangular.

15,24,40 = 3*5 , 3*8 , 8*5 ----> sufficient ! those are the dimensions and the answer is (C)

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Senior Manager
Joined: 28 Jun 2007
Posts: 454

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21 Jul 2007, 21:31
I am going to go with B.

A is insufficient bcoz it could be lb, bh, lh

B impiles lb = lh = bh = 40.... by reduction l = b = h = sqrt(40)

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Manager
Joined: 22 Jul 2006
Posts: 50

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21 Jul 2007, 21:37
thanks killer ...i missed 6*2.5 option...! so i was thinking just option wil suffice...

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Director
Joined: 14 Jan 2007
Posts: 775

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22 Jul 2007, 09:23
Should be 'B'

Stmt2: each of two faces has the area 40 means that the solid is cube with 40 as area of each face.

The volume can be calculated by this info.
So SUFF

Kudos [?]: 167 [0], given: 0

22 Jul 2007, 09:23
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# What is the volume of a certain rectangular solid? (1) Two

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