It is currently 23 Nov 2017, 10:13

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Cube A has a volume of a cubic inches. If each side of Cube B is twice

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42338

Kudos [?]: 133122 [0], given: 12415

Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 13 Sep 2017, 21:49
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

96% (00:25) correct 4% (01:13) wrong based on 55 sessions

HideShow timer Statistics

Cube A has a volume of a cubic inches. If each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

A. 2a
B. 4a
C. 6a
D. 8a
E. 16a
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133122 [0], given: 12415

Manager
Manager
avatar
G
Joined: 12 Feb 2017
Posts: 71

Kudos [?]: 21 [0], given: 41

Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 13 Sep 2017, 22:35
Volume of cube= L^3

Volume of cube A= a cubic inches
a= L^3
L= a^1/3

Side of cube B is twice as long as side of A.
Side of Cube B= l= 2*(a^1/3)

Volume of Cube B= l^3
= 2^3 * (a^1/3)^3
=8*a

Hence Answer is option D.

Kudos if it helps.

Kudos [?]: 21 [0], given: 41

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1002

Kudos [?]: 347 [0], given: 594

Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 13 Sep 2017, 22:37
Bunuel wrote:
Cube A has a volume of a cubic inches. If each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

A. 2a
B. 4a
C. 6a
D. 8a
E. 16a

Volume of Cube A = a = \(s * s* s\).

Cube B = (2s * 2s * 2s), or 8(s * s * s)

Substitute a for (s * s * s): volume of Cube B = 8a

OR

Let Cube A have sides = 1.
Volume is (1*1*1) = a

Each of Cube B's sides is twice as long as Cube A's sides.
Cube B has sides = 2.

Volume of B is
(2*1) * (2*1) * (2*1), or
(2*2*2)(1*1*1).
Substitute a for (1*1*1):
(2*2*2)(a) = 8a, is volume of Cube B

Basically: For dilation, to get resultant volume, multiply the volume of the original by the multiplier cubed -- because each length is scaled up by the multiplier, and volume = (length * length * length).

Multiplier is 2
2\(^3\) = 8

Volume of Cube A = a, so
volume of Cube B = 8a

ANSWER D

Last edited by genxer123 on 13 Sep 2017, 22:48, edited 1 time in total.

Kudos [?]: 347 [0], given: 594

Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 618

Kudos [?]: 105 [0], given: 46

Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 13 Sep 2017, 22:47
let a = 8
side of cube A = 2
each side is twice the side of A = 4*4*4, vol = 64
That is 8a

Kudos [?]: 105 [0], given: 46

BSchool Forum Moderator
User avatar
D
Joined: 26 Feb 2016
Posts: 1624

Kudos [?]: 696 [0], given: 17

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 13 Sep 2017, 23:10
Bunuel wrote:
Cube A has a volume of a cubic inches. If each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

A. 2a
B. 4a
C. 6a
D. 8a
E. 16a



The volume of the cube A is a cubic inches, the side of the cube is \(\sqrt[3]{a}\) inches.
If the side of cube B is twice as long, the side must be 2 \(\sqrt[3]{a}\).

The volume of the cube B must be \((2\sqrt[3]{a})^{3}\) which is 8a(Option D)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 696 [0], given: 17

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Jul 2017
Posts: 269

Kudos [?]: 85 [0], given: 65

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 14 Sep 2017, 02:23
Let side of Cube A = x.
As volume of A = a=> \(x^3 =a\)

Now Cube b side = 2* side of A = 2*x
Volume of b \(= (2x)^3 = 8x^3 = 8a\) .. as\(x^3 =a\)

Answer:D

Kudos [?]: 85 [0], given: 65

Expert Post
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7748

Kudos [?]: 17861 [0], given: 235

Location: Pune, India
Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 14 Sep 2017, 04:27
Bunuel wrote:
Cube A has a volume of a cubic inches. If each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

A. 2a
B. 4a
C. 6a
D. 8a
E. 16a


Volume of a cube = Side^3

If you double the side, the volume will become 2^3 = 8 times.

Hence volume of cube B is 8a.

Answer (D)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17861 [0], given: 235

Intern
Intern
User avatar
B
Joined: 16 Jul 2016
Posts: 12

Kudos [?]: 2 [0], given: 28

Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 14 Sep 2017, 09:44
Correct me if I am wrong. Let the volume of cube B,
A/V = A^3/8A^3
Therefore, V= 8A
Bunuel

Kudos [?]: 2 [0], given: 28

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1713

Kudos [?]: 917 [0], given: 5

Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice [#permalink]

Show Tags

New post 18 Sep 2017, 05:46
Bunuel wrote:
Cube A has a volume of a cubic inches. If each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

A. 2a
B. 4a
C. 6a
D. 8a
E. 16a


We can let the side of cube A = x and the side of cube B = 2x. Since the volume of cube A is a, we have x^3 = a. Then, the volume of cube B is (2x)^3 = 8x^3. Substituting a for x^3, we obtain 8a for the volume of cube B.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

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

Kudos [?]: 917 [0], given: 5

Re: Cube A has a volume of a cubic inches. If each side of Cube B is twice   [#permalink] 18 Sep 2017, 05:46
Display posts from previous: Sort by

Cube A has a volume of a cubic inches. If each side of Cube B is twice

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.