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

 It is currently 19 Feb 2019, 04:57

### 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 GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# If the volume of a cube with side of length 6 is equal to the volume

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52971
If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

### Show Tags

30 Nov 2017, 21:53
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:55) correct 11% (01:07) wrong based on 46 sessions

### HideShow timer Statistics

If the volume of a cube with side of length 6 is equal to the volume of a rectangular solid with length 12 and width 9, then the height of the rectangular solid is

(A) 2
(B) 4
(C) 6
(D) 8
(E) 9

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 318
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

### Show Tags

30 Nov 2017, 22:01
A

Volume of cube = 6*6*6

Let h be the height of the rectangular solid.
Volume of rectangular solid = 12*9*h.

As both are equal we can equate.

Hence h=216/(9*12)
=2

Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4932
Location: United States (CA)
Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

### Show Tags

19 Mar 2018, 05:44
Bunuel wrote:
If the volume of a cube with side of length 6 is equal to the volume of a rectangular solid with length 12 and width 9, then the height of the rectangular solid is

(A) 2
(B) 4
(C) 6
(D) 8
(E) 9

The volume of the cube with a side length of 6 is 6 x 6 x 6.

If we let the height of the rectangular solid = h, then we have:

6 x 6 x 6 = 12 x 9 x h

216 = 108h

2 = h

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 64
Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

### Show Tags

30 Dec 2018, 08:59
Cube is 6*6*6 while rectangular solid is 12*9*x
We can see that using prime factoring 12*9 gives us 6*6*3
therefore, we need x = 2 to make the last 6
Re: If the volume of a cube with side of length 6 is equal to the volume   [#permalink] 30 Dec 2018, 08:59
Display posts from previous: Sort by