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

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Manager
Joined: 29 Sep 2008
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What is the volume of rectangular box B? (1) Two adjacent [#permalink]

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14 Oct 2010, 04:51
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64% (01:07) correct 36% (01:04) wrong based on 177 sessions

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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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Joined: 02 Sep 2009
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14 Oct 2010, 04:58
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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Manager
Joined: 19 Sep 2010
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16 Oct 2010, 04:40
I think this has been discussed b'fore..

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Manager
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Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink]

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05 Aug 2013, 15:37
1
KUDOS
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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Senior Manager
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Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink]

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06 Aug 2013, 00:08
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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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Asif vai.....

Kudos [?]: 419 [1], given: 102

Math Expert
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Kudos [?]: 129394 [0], given: 12197

Re: What is the volume of rectangular box B? (1) Two adjacent [#permalink]

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09 Aug 2013, 03:32
OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-volume-of-a-certain-rectangular-solid-90748.html
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Director
Joined: 23 Jan 2013
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Schools: Cambridge'16
What is the volume of rectangular box B? (1) Two adjacent [#permalink]

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24 Jun 2014, 21:42
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

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What is the volume of rectangular box B? (1) Two adjacent   [#permalink] 24 Jun 2014, 21:42
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