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What is the volume of rectangular box B? (1) Two adjacent

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What is the volume of rectangular box B? (1) Two adjacent [#permalink] New post 14 Oct 2010, 03:51
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A
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61% (02:06) correct 38% (01:00) wrong based on 107 sessions
What is the volume of rectangular box B?

(1) Two adjacent faces of box B have areas of 16 and 10.

(2) Two opposite faces of box B each have an area of 40.

why a is wrong.we get the length,breath and height from the information given in A

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-volume-of-a-certain-rectangular-solid-90748.html
[Reveal] Spoiler: OA
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Re: geometry [#permalink] New post 14 Oct 2010, 03:58
Expert's post
mrinal2100 wrote:
What is the volume of rectangular box B?

(1) Two adjacent faces of box B have areas of 16 and 10.

(2) Two opposite faces of box B each have an area of 40.

why a is wrong.we get the length,breath and height from the information given in A


Good discussion: og-12-ds-90748.html
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Re: geometry [#permalink] New post 16 Oct 2010, 03:40
I think this has been discussed b'fore..
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Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink] New post 05 Aug 2013, 14:37
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from 1
ab=16 implies a=8, b=2 and
bc=10 implies b=2 already taken and c=5

from 2
given area of two opp faces=40
from 1 we get ca=40

ie 2 is helping us to confirm the values of c and a
hence C.
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Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink] New post 05 Aug 2013, 23:08
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mrinal2100 wrote:
What is the volume of rectangular box B?

(1) Two adjacent faces of box B have areas of 16 and 10.

(2) Two opposite faces of box B each have an area of 40.

why a is wrong.we get the length,breath and height from the information given in A


because volume can be changed.
Area 16 and 10.
So 8 × 2 and 5 × 2 , so 2 is the common side and the rest two are other two sides , so these three are length, width and height. finally volume = 5×8×2=80

but look, again area 16 and 10,
so 4×4 and 5/2 × 4.
now volume= 4 × 4 × 5/2 = 40.

so volume can be changed. we don't know what the value of length width and height really are....

st(2) confirms that..

thats why (C) not (A)
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Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink] New post 09 Aug 2013, 02:32
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What is the volume of rectangular box B? (1) Two adjacent [#permalink] New post 24 Jun 2014, 20:42
The question what x*y*z is

Statement 1. x*y=10, x*z=16, two equations for three variables. Picking also gives many options. Not enough

Statement 2. z*y=40, one equation for three variables. Not enough

Statement 1 and 2. Three equation, so it is enough. Answer is C
What is the volume of rectangular box B? (1) Two adjacent   [#permalink] 24 Jun 2014, 20:42
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