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# If a rectangular box has two faces with an area of 30, two

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Senior Manager
Joined: 21 Oct 2013
Posts: 444
If a rectangular box has two faces with an area of 30, two [#permalink]

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17 Jul 2014, 05:34
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If a rectangular box has two faces with an area of 30, two faces of area 60, and two faces of area 72, what is its volume?

A. 60
B. 90
C. 162
D. 300
E. 360
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 43792
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

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17 Jul 2014, 05:44
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goodyear2013 wrote:
If a rectangular box has two faces with an area of 30, two faces of area 60, and two faces of area 72, what is its volume?

A. 60
B. 90
C. 162
D. 300
E. 360

Width*Depth = 30;
Width*Height = 60;
Depth*Height = 72.

Multiply: (Width*Depth*Height)^2 = Volume^2 = 30*60*72 = 30*(30*2)*72 = 30^2*12^2 --> Volume = 30*12 = 360.

Answer: E.
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Posts: 43792
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

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21 Jul 2014, 13:57
Bunuel wrote:
goodyear2013 wrote:
If a rectangular box has two faces with an area of 30, two faces of area 60, and two faces of area 72, what is its volume?

A. 60
B. 90
C. 162
D. 300
E. 360

Width*Depth = 30;
Width*Height = 60;
Depth*Height = 72.

Multiply: (Width*Depth*Height)^2 = Volume^2 = 30*60*72 = 30*(30*2)*72 = 30^2*12^2 --> Volume = 30*12 = 360.

Answer: E.

Similar question to practice: in-the-rectangular-solid-above-the-three-sides-shown-have-143640.html
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Re: If a rectangular box has two faces with an area of 30, two [#permalink]

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03 Aug 2016, 07:32
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Re: If a rectangular box has two faces with an area of 30, two [#permalink]

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03 Sep 2017, 05:10
so if the two faces have an area of 30 then each face is 15, when the area is 60 then each area is 30 and if the area is 72 for each face the area is 36 then the volume is l*w=15 w*h=30 h*l=36 then volume is 15*2*18=540 or 5*3*6=90 why is this method incorrect?? Kindly help.
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Joined: 02 Sep 2009
Posts: 43792
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

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03 Sep 2017, 05:16
longhaul123 wrote:
so if the two faces have an area of 30 then each face is 15, when the area is 60 then each area is 30 and if the area is 72 for each face the area is 36 then the volume is l*w=15 w*h=30 h*l=36 then volume is 15*2*18=540 or 5*3*6=90 why is this method incorrect?? Kindly help.

The question does not say that combined two faces have area of 30 it says that two faces have an area of 30, so each of the two faces has an area of 30.
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Re: If a rectangular box has two faces with an area of 30, two   [#permalink] 03 Sep 2017, 05:16
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# If a rectangular box has two faces with an area of 30, two

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