Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 16 Jul 2019, 09:31

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 72. If it is divided into 8 equal cubes, the

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56244
A cube has a volume of 72. If it is divided into 8 equal cubes, the  [#permalink]

Show Tags

New post 06 Dec 2017, 04:19
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:35) correct 33% (01:56) wrong based on 76 sessions

HideShow timer Statistics


Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 617
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
A cube has a volume of 72. If it is divided into 8 equal cubes, the  [#permalink]

Show Tags

New post 06 Dec 2017, 04:42
Bunuel wrote:
A cube has a volume of 72. If it is divided into 8 equal cubes, the ratio of an edge of a smaller cube to an edge of the original cube is

(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9


Volume of each small cube = 72/8 = 9
Edge of each small cube = 9^1/3
Edge of Original cube = 72^1/3
\((9^(1/3)) / (8^(1/3)) * (9^(1/3))\)
1/2
A
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3847
Location: Canada
A cube has a volume of 72. If it is divided into 8 equal cubes, the  [#permalink]

Show Tags

New post 06 Dec 2017, 10:17
Top Contributor
Bunuel wrote:
A cube has a volume of 72. If it is divided into 8 equal cubes, the ratio of an edge of a smaller cube to an edge of the original cube is

(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9


Great question!
The great thing about it is that the volume of the original cube is irrelevant.
It all comes down to what happens when we divide ANY cube into 8 equal cubes.
Here's what I mean.

Take a cube and divide it into 8 equal cubes...
Image

If we let x = the length of one edge of the ORIGINAL cube....
Image

....then x/2 = the length of one edge of the SMALLER cube....
Image

What is the ratio of an edge of a smaller cube to an edge of the original cube?
Get get: x/2 : x
Divide both sides by x to get the EQUIVALENT ratio: 1/2 : 1
Multiply both sides by 2 to get the EQUIVALENT ratio: 1 : 2

Answer: A

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11655
Re: A cube has a volume of 72. If it is divided into 8 equal cubes, the  [#permalink]

Show Tags

New post 20 Dec 2018, 10:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: A cube has a volume of 72. If it is divided into 8 equal cubes, the   [#permalink] 20 Dec 2018, 10:38
Display posts from previous: Sort by

A cube has a volume of 72. If it is divided into 8 equal cubes, the

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne