NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 17:01 It is currently 26 Apr 2024, 17:01
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619243 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   07 May 2021, 07:15
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

90% (02:05) correct 10% (01:43) wrong based on 39 sessions
Hide Show 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
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619243 [2]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   08 May 2021, 09:45
1
Kudos
1
Bookmarks
Expert Reply
Bunuel 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.
General Discussion
User avatar
P
hD13
Senior Manager
Senior Manager
Joined: 04 May 2020
Status:What goes round comes around, so does Kudos.
Posts: 262
Own Kudos [?]: 236 [0]
Given Kudos: 295
Location: India
Schools: NUS '23 ISB'22 Foster '23 Ivey '22 Kelley '23
GPA: 4
WE:Business Development (Retail Banking)
Send PM
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   07 May 2021, 07:24
Lb = 30 - 1
Bh = 60 - 2
Lh = 72 - 3

1/3 = L/H = 0.5
Lh = 72
L² = 36
L = 6
B = 5
H = 12

Volume = 360

Answer E 360

Posted from my mobile device
User avatar
L
globaldesi
VP
VP
Joined: 28 Jul 2016
Posts: 1212
Own Kudos [?]: 1728 [0]
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Investment Banking)
Send PM
Reviews Badge
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   07 May 2021, 07:28
let the different dimensions of a rectangular box be l, b and h
so
lb= 30
bh=60
lh= 72
or \(l^2*b^2 *h^2 = 30*60*72\)
or lbh = \(\sqrt{30*60*72}\)
= 360
thus volume = 360
E
User avatar
B
ManyataM
Manager
Manager
Joined: 27 Apr 2020
Posts: 103
Own Kudos [?]: 20 [0]
Given Kudos: 25
Send PM
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   07 May 2021, 13:01
Bunuel 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


IMO the answer is option E

I did it in a different way

lb=30 - 6*5
bh=60 - 5*12
hl=72 - 12*6 so, lbh=6*5*12=360
avatar
B
Makesh89
Intern
Intern
Joined: 11 Jan 2021
Posts: 32
Own Kudos [?]: 7 [0]
Given Kudos: 319
Location: Kenya
GMAT 1: 680 Q45 V33
Send PM
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   07 May 2021, 15:23
Why are we ignoring "two faces" I thought we should divide all the areas by two to get the area of each face? Somebody please help

Posted from my mobile device
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16600 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   08 May 2021, 01:00
Expert Reply
Let

L * B = 30 [L= 6 ; B = 5]
B * H = 60 [B= 5 ; H = 12]
L * H = 72 [L= 6 ; H = 12]

Volume = L * B * H = 6 * 5 * 12 = 360

Answer E
avatar
B
Makesh89
Intern
Intern
Joined: 11 Jan 2021
Posts: 32
Own Kudos [?]: 7 [0]
Given Kudos: 319
Location: Kenya
GMAT 1: 680 Q45 V33
Send PM
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink] New post   08 May 2021, 10:28
Bunuel wrote:
Bunuel 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.

Please help me understand why we can't factor the two faces. Meaning we divide by 2 to get the area of one face.

Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: If a rectangular box has two faces with an area of 30, two faces of ar [#permalink]
08 May 2021, 10:28
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions