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

 It is currently 24 Sep 2018, 12:42

### 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

# What is the maximum number of spheres of radius 2 can fit into a cube

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49430
What is the maximum number of spheres of radius 2 can fit into a cube  [#permalink]

### Show Tags

07 Sep 2018, 01:39
00:00

Difficulty:

35% (medium)

Question Stats:

62% (01:11) correct 38% (01:02) wrong based on 39 sessions

### HideShow timer Statistics

What is the maximum number of spheres of radius 2 can fit into a cube of volume 512 units?

A. 0
B. 1
C. 3
D. 4
E. 8

_________________
SVP
Joined: 08 Jul 2010
Posts: 2356
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: What is the maximum number of spheres of radius 2 can fit into a cube  [#permalink]

### Show Tags

07 Sep 2018, 02:52
Bunuel wrote:
What is the maximum number of spheres of radius 2 can fit into a cube of volume 512 units?

A. 0
B. 1
C. 3
D. 4
E. 8

Volume of cube = $$a^3 = 512$$

i.e. $$a = 8$$

every dimension of 8 unit can accomodate 8/4 spheres where 4 is the diameter of the sphere

i.e. total such spheres = (8/4)*(8/4)*(8/4) = 8

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Joined: 18 Jun 2018
Posts: 50
Location: United States
Concentration: Finance, Healthcare
Schools: Jones '21
Re: What is the maximum number of spheres of radius 2 can fit into a cube  [#permalink]

### Show Tags

18 Sep 2018, 21:15
Bunuel Can you please provide the solution for this? Thanks in advance.

Bunuel wrote:
What is the maximum number of spheres of radius 2 can fit into a cube of volume 512 units?

A. 0
B. 1
C. 3
D. 4
E. 8
Re: What is the maximum number of spheres of radius 2 can fit into a cube &nbs [#permalink] 18 Sep 2018, 21:15
Display posts from previous: Sort by

# What is the maximum number of spheres of radius 2 can fit into a cube

## Events & Promotions

 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®.