BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

There are spheres each of radius 1 cm. The maximum number of

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Tue Jul 10, 2012 5:49 am
gmatter2012 wrote:There are spheres each of radius 1 cm. The maximum number of spheres that can be put in a cubical box of side 5 cm is?
The maximum dimension of the sphere is the diameter of the sphere = 2 cm
Now, the maximum number of spheres that we can put side by side must be equal to the greatest integer less than or equal to 5/2 = 2.5

Hence, we can put maximum 2 spheres side by side.
Now, try to visualize the situation. Each side of the cube is occupied by two spheres. Hence, there are two layers of spheres inside the cube one above another. And each layers contains 4 spheres each.

Hence, total number of spheres = 2*4 = 8

The correct answer is B.

Note : If you visualize the situation you will see that if we push the 8 spheres as much as we can towards the 8 corners of the cube, we will have some amount of space at the center of the cube. And that place may hold one more sphere. If 9 was in the option, we had to calculate whether that empty space is enough to hold one more sphere. As 9 is not in the option, we are not doing that calculation.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 138
Joined: Sat May 05, 2012 7:03 pm
Thanked: 1 times

by gmatter2012 » Tue Jul 10, 2012 5:59 am
Anurag@Gurome wrote:
gmatter2012 wrote:There are spheres each of radius 1 cm. The maximum number of spheres that can be put in a cubical box of side 5 cm is?
The maximum dimension of the sphere is the diameter of the sphere = 2 cm
Now, the maximum number of spheres that we can put side by side must be equal to the greatest integer less than or equal to 5/2 = 2.5

Hence, we can put maximum 2 spheres side by side.
Now, try to visualize the situation. Each side of the cube is occupied by two spheres. Hence, there are two layers of spheres inside the cube one above another. And each layers contains 4 spheres each.

Hence, total number of spheres = 2*4 = 8

The correct answer is B.

Note : If you visualize the situation you will see that if we push the 8 spheres as much as we can towards the 8 corners of the cube, we will have some amount of space at the center of the cube. And that place may hold one more sphere. If 9 was in the option, we had to calculate whether that empty space is enough to hold one more sphere. As 9 is not in the option, we are not doing that calculation.
Awesome !
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1