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

 It is currently 23 Feb 2019, 15:09

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# A rectangular solid (cuboid) has three faces, having areas 12, 45, and

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
A rectangular solid (cuboid) has three faces, having areas 12, 45, and  [#permalink]

### Show Tags

16 Oct 2018, 03:43
00:00

Difficulty:

35% (medium)

Question Stats:

83% (01:46) correct 17% (02:28) wrong based on 31 sessions

### HideShow timer Statistics

A rectangular solid (cuboid) has three faces, having areas 12, 45, and 60. What is the volume of the solid?

(A) 180
(B) 200
(C) 240
(D) 600
(E) 900

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 958
WE: Supply Chain Management (Energy and Utilities)
Re: A rectangular solid (cuboid) has three faces, having areas 12, 45, and  [#permalink]

### Show Tags

16 Oct 2018, 03:57
Note:-
1.Each face has different areas.
2. We have to find out the measure of common side of any two faces.

HCF(12,45,60)=3=one side of the cuboid(say length)
Area face1=12=3*4=l*b
Area face2=45=3*15=l*h
Area face3=60=15*4=h*b
So l=3,b=4,and h=15

So area=l*b*h=3*4*15=180

Ans.(A)

Posted from my mobile device
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Joined: 14 Jun 2018
Posts: 223
Re: A rectangular solid (cuboid) has three faces, having areas 12, 45, and  [#permalink]

### Show Tags

16 Oct 2018, 05:09
All the three values represent l*b , b*h , l*h.
Multiply all and find the square root
$$(l*b*h)^2 = √45*12*60$$
= 180
Re: A rectangular solid (cuboid) has three faces, having areas 12, 45, and   [#permalink] 16 Oct 2018, 05:09
Display posts from previous: Sort by

# A rectangular solid (cuboid) has three faces, having areas 12, 45, and

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.