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

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

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09 Feb 2007, 12:06
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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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Joined: 08 Feb 2007
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Re: DS - 1000 (Geometry) [#permalink]

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09 Feb 2007, 13:56
SimaQ wrote:
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.

Let me try

we need to find the volume of the rectangular solid = W x H x L

St1: gives WxH=15, WxL=24
deviding both statement together --> H/L = 15/24
Still Insuff.

St2: gives: WxH=40, HxL=40, WxL=40
Still can't find WxHxL --> Insuff

Combining both:
H=L(15/24) from St1
HxL=40 from St2
We can find out that L=8
Now we can find both W and H, finally we cn find WxHxL

answer is D, am i right?
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09 Feb 2007, 17:02
Assuming a, b, c = each side of this rectangular solid

(1)...
ab = 15
ac = 24
3 variables 2 equations. INSUFF.

(2)...
bc = 40
2 variables 1 equation. INSUFF.

(1) + (2)...
ab = 15
ac = 24
bc = 40
3 variables 3 equation. SUFF

C. is the answer.
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Re: DS - 1000 (Geometry) [#permalink]

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10 Feb 2007, 01:14
SimaQ wrote:
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.

Two adjacent faces must share 1 side in common.(The areas must have a common factor)

15 -> 3*5
24 -> 3*8

The 3 sides are 3,5 and 8.Volume=120.A is suff.

B just states the obvious that the 2 opposite faces of the rectangular solid are equal.

My pick is A.
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10 Feb 2007, 05:03
A for me too
From st1 you can determine required length breadth and height.

St2 is not suff its just tells us opposite faces have same area..
[#permalink] 10 Feb 2007, 05:03
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# What is the volume of a certain rectangular solid? (1) Two

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