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

It is currently 21 May 2019, 22:52

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.

Close

Request Expert Reply

Confirm Cancel

A cube has a volume of T cubic inches . If each side length of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2290
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
A cube has a volume of T cubic inches . If each side length of the  [#permalink]

Show Tags

New post 18 Aug 2017, 20:56
1
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:43) correct 8% (00:56) wrong based on 58 sessions

HideShow timer Statistics

A cube has a volume of T cubic inches . If each side length of the cube is doubled , then which of the following is the volumne of this new cube ?

A. 2T in^3
B. 4T in^3
C. 5T in^3
D. 6T in^3
E. 8T in^3

_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful
Manager
Manager
avatar
G
Joined: 12 Jun 2016
Posts: 214
Location: India
Concentration: Technology, Leadership
WE: Sales (Telecommunications)
GMAT ToolKit User
Re: A cube has a volume of T cubic inches . If each side length of the  [#permalink]

Show Tags

New post 18 Aug 2017, 23:24
IMO the answer is E.

I did it by picking numbers. Let Volume of Cube be T(old) = 8. Each side of the old cube S(old)= 2. From Stem, Each side of new cube S (new) = 2*2 = 4. New Volume T(New) = 4*4*4 = 64.

T(Old)= 8. T(New) = 64. Substituting in each answer choice we have

A. T(new) = 2*8 = 16. Incorrect
B. T(new) = 4*8 = 32. Incorrect
C. T(new) = 5*8 = 40. Incorrect
D. T(new) = 6*8 = 48. Incorrect
E. T(new) = 8*8 = 64. Correct.

The Answer is E.
_________________
My Best is yet to come!
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2747
A cube has a volume of T cubic inches . If each side length of the  [#permalink]

Show Tags

New post 19 Aug 2017, 13:50
Skywalker18 wrote:
A cube has a volume of T cubic inches . If each side length of the cube is doubled , then which of the following is the volumne of this new cube ?

A. 2T in^3
B. 4T in^3
C. 5T in^3
D. 6T in^3
E. 8T in^3

Because volume = length * length * length, you can take the scale factor \(k\) to its third power, \(k^3\) .

You're "scaling up" three lengths by the same factor.

"[E]ach side length doubles" = scale factor 2. 2\(^3\) = 8. Old volume (1)T cu in is now 8T cu in.

Easy to see if original cube has side length 1. Volume = 1 * 1 * 1 = 1 cubic inch. Double the side length. New volume is 2 * 2 * 2 = 8 cu in. So scale factor k\(^3\) is 2\(^3\).

Answer E
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions go to SC Butler, here.


Please DO NOT write short answers in your verbal posts! Such answers will be deleted.
Manager
Manager
User avatar
G
Joined: 27 Dec 2016
Posts: 232
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Reviews Badge
Re: A cube has a volume of T cubic inches . If each side length of the  [#permalink]

Show Tags

New post 19 Aug 2017, 21:50
1
Skywalker18 wrote:
A cube has a volume of T cubic inches . If each side length of the cube is doubled , then which of the following is the volumne of this new cube ?

A. 2T in^3
B. 4T in^3
C. 5T in^3
D. 6T in^3
E. 8T in^3


1. The initial length of the cube : T.
2. New length : T * 2 = 2T.
3. New Volume = 2T * 2T * 2T = 8T^3

E.
_________________
There's an app for that - Steve Jobs.
Senior Manager
Senior Manager
User avatar
P
Joined: 13 Jan 2018
Posts: 326
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: A cube has a volume of T cubic inches . If each side length of the  [#permalink]

Show Tags

New post 26 Oct 2018, 05:24
Volume of a cube is \(S^3\) = T

Now each side is doubled, so S=2S.

Volume = \((2S)^3\)
= \(8S^3\)
= \(8T\)

OPTION : E
_________________
____________________________
Regards,

Chaitanya


+1 Kudos

if you like my explanation!!!
GMAT Club Bot
Re: A cube has a volume of T cubic inches . If each side length of the   [#permalink] 26 Oct 2018, 05:24
Display posts from previous: Sort by

A cube has a volume of T cubic inches . If each side length of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.