Last visit was: 15 Dec 2024, 12:53 It is currently 15 Dec 2024, 12:53
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
User avatar
jimmyjamesdonkey
Joined: 01 May 2007
Last visit: 27 Mar 2009
Posts: 484
Own Kudos:
1,478
 []
Posts: 484
Kudos: 1,478
 []
3
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
User avatar
sumande
Joined: 04 Jun 2007
Last visit: 18 Oct 2012
Posts: 144
Own Kudos:
Posts: 144
Kudos: 83
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
jimmyjamesdonkey
Joined: 01 May 2007
Last visit: 27 Mar 2009
Posts: 484
Own Kudos:
Posts: 484
Kudos: 1,478
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
jimmyjamesdonkey
Joined: 01 May 2007
Last visit: 27 Mar 2009
Posts: 484
Own Kudos:
Posts: 484
Kudos: 1,478
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Nevermind - misread your answer. You got it.
User avatar
ashkrs
Joined: 08 Jun 2007
Last visit: 21 Feb 2019
Posts: 284
Own Kudos:
GMAT 1: 680 Q48 V35
Posts: 284
Kudos: 328
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jimmyjamesdonkey
If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

1) 1/2
2) cubed rt(2)
3) 3*cubed rt(2)
4) 2
5) 8

OA to follow.
:?:


B : This looked like a plain vanilla. Was there any trick involved??
User avatar
ywilfred
Joined: 07 Jul 2004
Last visit: 06 Mar 2012
Posts: 1,995
Own Kudos:
Location: Singapore
Posts: 1,995
Kudos: 1,956
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let side of cube A be x, side of cube B be y

Volume of A = x^3
Volue of B = y^3

x^3 = 2y^3
x = 2^1/3(y)

So the side of A is cube root (2) of B
User avatar
KillerSquirrel
Joined: 08 Jun 2005
Last visit: 28 Mar 2009
Posts: 523
Own Kudos:
Posts: 523
Kudos: 597
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ywilfred is correct:

X = one cube
Y = second cube

x^3 = y^3*2 ---> (one volume is twice the other volume)

3sqrt(2)^3 = 2

x^3 = y^3*3sqrt(2)^3

x^3 = (y*3sqrt(2))^3 ---> the same way that 2^2*3^2 = 6^2

x = y*3sqrt(2)

the answer is (B) = cubed rt(2) = 3sqrt(2)

:-D
User avatar
kundankshrivastava
Joined: 14 May 2014
Last visit: 18 Oct 2014
Posts: 35
Own Kudos:
Given Kudos: 1
Posts: 35
Kudos: 165
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Volume of cube is directly proportional to the cube of side
Volume of CubeA/Volume of Cube B = [Side of cube A/side of cube B]^3

in this question
Volume of A/Volume of B = 2

[Side of cube A/side of cube B]^3 = 2

Side of cube A/side of cube B = cubic root (2)

Side of cube A = cubic root (2) * Side of B

Hence Answer is B
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Dec 2024
Posts: 97,886
Own Kudos:
Given Kudos: 88,273
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,886
Kudos: 686,155
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jimmyjamesdonkey
If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

A. 1/2
B. \(\sqrt[3]{2}\)
C. \(3\sqrt[3]{2}\)
D. 2
E. 8

3-D Geometry Questions Directory: 3-d-geometry-questions-171024.html
User avatar
Temurkhon
Joined: 23 Jan 2013
Last visit: 06 Apr 2019
Posts: 417
Own Kudos:
Given Kudos: 43
Schools: Cambridge'16
Schools: Cambridge'16
Posts: 417
Kudos: 278
Kudos
Add Kudos
Bookmarks
Bookmark this Post
any cubes are similar each other meaning that the ratio of theirs volumes is third degree of their side's ratio, so

a^3/2b^3=sqrt^3 of a^3/sqrt^3 of (2b)^3=a/sqrt^3 of 2*b

B
avatar
PareshGmat
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,551
Own Kudos:
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,551
Kudos: 7,524
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let volume of cube B = 1 = 1 * 1 *1

Then volume of cube A = 2 \(= 2^{\frac{1}{3}} * 2^{\frac{1}{3}} * 2^{\frac{1}{3}}\)

Dimension of Cube A is \(2^{\frac{1}{3}}\) times that of dimension of cube B

Answer = B
User avatar
kanusha
Joined: 25 Mar 2013
Last visit: 03 Aug 2017
Posts: 163
Own Kudos:
Given Kudos: 101
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Products:
Posts: 163
Kudos: 141
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Concept is Cube
Cube _ 6 Sides , Volume is S^3 , Given 2 Cubes
S^3 = 2 x S^3
???Confused
Changing the variables as two Different Cubes
a^3 = 2 b^3 ( A is twice that of B)
a = ? ??
a x a^2 = 2 x b^3
a = 2 x b^3 /a^2 ?????
Next? :idea: ?

Is my thought process is right??
avatar
PareshGmat
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,551
Own Kudos:
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,551
Kudos: 7,524
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kanusha
Concept is Cube
Cube _ 6 Sides , Volume is S^3 , Given 2 Cubes
S^3 = 2 x S^3
???Confused
Changing the variables as two Different Cubes
a^3 = 2 b^3 ( A is twice that of B)
a = ? ??
a x a^2 = 2 x b^3
a = 2 x b^3 /a^2 ?????
Next? :idea: ?

Is my thought process is right??


Instead of taking 2 variables, just try plugins... Please look at posts above
User avatar
Ashishmathew01081987
Joined: 20 Jan 2013
Last visit: 07 Jun 2020
Posts: 95
Own Kudos:
287
 []
Given Kudos: 71
Status:I am not a product of my circumstances. I am a product of my decisions
Location: India
Concentration: Operations, General Management
GPA: 3.92
WE:Operations (Energy)
Posts: 95
Kudos: 287
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kanusha
Concept is Cube
Cube _ 6 Sides , Volume is S^3 , Given 2 Cubes
S^3 = 2 x S^3
???Confused
Changing the variables as two Different Cubes
a^3 = 2 b^3 ( A is twice that of B)
a = ? ??
a x a^2 = 2 x b^3
a = 2 x b^3 /a^2 ?????
Next? :idea: ?

Is my thought process is right??


Here you have to find the relation between Side od Cube A and Side of Cube B

Let Sa = side of cube A
And Sb = Side of cube B

given, Va = 2* Vb

(Sa^3) = 2* (Sb^3)--------------- Till this step you are correct. See the below explanation to clear the doubt.

Taking Cube root on both sides

Sa = 2^(1/3) * Sb


Therefore answer is B
User avatar
Divyadisha
User avatar
Current Student
Joined: 18 Oct 2014
Last visit: 01 Jun 2018
Posts: 678
Own Kudos:
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT 1: 660 Q49 V31
Posts: 678
Kudos: 1,834
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jimmyjamesdonkey
If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

A. 1/2
B. \(\sqrt[3]{2}\)
C. \(3\sqrt[3]{2}\)
D. 2
E. 8

Volume A= 2 Volume B

Side^3 (A) = 2 Side ^3 (B)
Side (A) = 2 ^1/3X Side (B)

B is the answer
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,836
Own Kudos:
Posts: 35,836
Kudos: 930
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
97886 posts