Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
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.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
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 Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart 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 563 reviewsTarget Test Prep

Rectangular box and cylinder

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 250
Joined: Thu Jan 07, 2010 2:21 am
Thanked: 10 times
by saurabhmahajan » Thu Sep 02, 2010 5:39 am
Source : MGMAT Geometry.

A rectangular box has the diemensions as 12 inches X 10 inches X 8 inches. What is the largest possible volume a right cylinder that is placed inside the box ?

[spoiler]Answer given is : 200 pie.[/spoiler]

How to solve such questions in less time ?
Thanks and regards,
Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.
Top
Join the discussion
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 50
Joined: Sun Aug 15, 2010 3:00 pm
Thanked: 4 times

by Makushr1 » Thu Sep 02, 2010 5:57 am
Think about what would give you the largest volume? Pi r^2 h. You want the radius as large as possible, since it's being squared. But be careful, I made this mistake when I did this question a couple weeks ago. If the side that 12x10 is laying down, the diameter isn't 12, it's 10. So, half of the diamater of 10 is 5. 5^2x hpi = 25x8xpi.
Top
Join the discussion
Senior | Next Rank: 100 Posts
Posts: 78
Joined: Thu Feb 21, 2008 9:05 am
Thanked: 7 times

by dinesh19aug » Thu Sep 02, 2010 9:26 am
The Best way to solve this is by drwaing the diagram.

Diag 1: Base = 12 * 8 ==>> What is max radius?? => 4 (because if radius is 6 it will go out of the box from other side which is 8). ==> Height = 10 ===> Vol = pi * 16 *10 = 160 pi

Diag 2: Base = 10 * 8 ==>> What is max radius?? => 4 (because if radius is 5 it will go out of the box from other side which is 8). ==> Height = 12 ===> Vol = pi * 16 *12 = 192 pi

Diag 3: Base = 12 * 10 ==>> What is max radius?? => 5 (because if radius is 6 it will go out of the box from other side which is 10). ==> Height = 18 ===> Vol = pi * 25 *8 = 200 pi
Top
Join the discussion