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

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Manager
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What is the volume of a certain rectangular solid? (1) Two [#permalink]  21 Jul 2007, 20:02
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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
VP
Joined: 08 Jun 2005
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[#permalink]  21 Jul 2007, 20:22
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)

Senior Manager
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[#permalink]  21 Jul 2007, 20:31
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)
Manager
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[#permalink]  21 Jul 2007, 20:37
thanks killer ...i missed 6*2.5 option...! so i was thinking just option wil suffice...
Director
Joined: 14 Jan 2007
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[#permalink]  22 Jul 2007, 08:23
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
[#permalink] 22 Jul 2007, 08:23
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# What is the volume of a certain rectangular solid? (1) Two

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