GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Jun 2018, 04:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 21 Oct 2013
Posts: 435
If a rectangular box has two faces with an area of 30, two [#permalink]

### Show Tags

17 Jul 2014, 06:34
1
3
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:33) correct 20% (01:50) wrong based on 122 sessions

### HideShow timer Statistics

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
Math Expert
Joined: 02 Sep 2009
Posts: 46280
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

### Show Tags

17 Jul 2014, 06:44
1
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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 46280
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

### Show Tags

21 Jul 2014, 14:57
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.

Similar question to practice: in-the-rectangular-solid-above-the-three-sides-shown-have-143640.html
_________________
Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 209
Location: India
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

### Show Tags

03 Sep 2017, 06:10
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.
Math Expert
Joined: 02 Sep 2009
Posts: 46280
Re: If a rectangular box has two faces with an area of 30, two [#permalink]

### Show Tags

03 Sep 2017, 06:16
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.
_________________
Re: If a rectangular box has two faces with an area of 30, two   [#permalink] 03 Sep 2017, 06:16
Display posts from previous: Sort by