It is currently 13 Dec 2017, 11:05

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


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

A rectangular box is 10 inches wide, 10 inches long, and 5

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

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3649 [2], given: 0

A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 26 Dec 2012, 06:23
2
This post received
KUDOS
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (00:50) correct 22% (01:07) wrong based on 780 sessions

HideShow timer Statistics

A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?

(A) 15
(B) 20
(C) 25
(D) \(10\sqrt{2}\)
(E) \(10\sqrt{3}\)
[Reveal] Spoiler: OA

Kudos [?]: 3649 [2], given: 0

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135519 [3], given: 12697

Re: A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 26 Dec 2012, 06:26
3
This post received
KUDOS
Expert's post
7
This post was
BOOKMARKED
Walkabout wrote:
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?

(A) 15
(B) 20
(C) 25
(D) \(10\sqrt{2}\)
(E) \(10\sqrt{3}\)


The longest distance will be the diagonal of a rectangular box. Look at the diagram below:
Image
Square of the diagonal of the face (base) is \(d^2=a^2+b^2\) and the square of the diagonal of a rectangular box is \(D^2=d^2+c^2=(a^2+b^2)+c^2\) --> \(D=\sqrt{a^2+b^2+c^2}\).

Applying this to our question, we get: \(D=\sqrt{10^2+10^2+5^2}=15\).

Answer: A.

Similar question to practice: a-rectangular-box-has-dimensions-of-8-feet-8-feet-and-z-128483.html
_________________

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 [?]: 135519 [3], given: 12697

1 KUDOS received
Current Student
avatar
B
Joined: 12 Feb 2011
Posts: 103

Kudos [?]: 50 [1], given: 3385

GMAT ToolKit User
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 06 May 2014, 11:50
1
This post received
KUDOS
One can also apply the 3-D or Deluxe Pythagorean theorem directly, which is D^2 = L^2 + W^2 + H^2, to get the value directly.

Kudos [?]: 50 [1], given: 3385

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1802

Kudos [?]: 981 [0], given: 5

Re: A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 07 Jul 2016, 09:19
Walkabout wrote:
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?

(A) 15
(B) 20
(C) 25
(D) \(10\sqrt{2}\)
(E) \(10\sqrt{3}\)


To solve this problem we must remember that given any rectangular solid, the longest line segment that can be drawn within the solid will be one that goes from a corner of the solid, through the center of the solid, to the opposite corner, or in other words, the space diagonal of the solid.

The space diagonal can be calculated using the extended Pythagorean theorem:

diagonal^2 = length^2 + width^2 + height^2

Using the values from the given information we have:

d^2 = 10^2 + 10^2 + 5^2

d^2 = 100 + 100 + 25

d^2 = 225

√d^2 = √225

d = 15
_________________

Jeffery Miller
Head of GMAT Instruction

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

Kudos [?]: 981 [0], given: 5

Director
Director
User avatar
Joined: 04 Jun 2016
Posts: 645

Kudos [?]: 389 [0], given: 36

GMAT 1: 750 Q49 V43
A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 16 Jul 2016, 23:51
Walkabout wrote:
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?

(A) 15
(B) 20
(C) 25
(D) \(10\sqrt{2}\)
(E) \(10\sqrt{3}\)


The greatest distance between any two points in a CUBE/CUBOID is given by the formula
\(d=\sqrt{l^2+b^2+h^2}\)

\(d=\sqrt{100+100+25}\); \({given===> l=10; b=10; h=5}\)

\(d=\sqrt{225}= 15\)

Answer is A
_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 389 [0], given: 36

Intern
Intern
avatar
Joined: 21 Jul 2016
Posts: 3

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

Re: A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 22 Sep 2016, 07:33
Hi I wonder if there is a faster way to solve this problem?

I read that if you find yourself using the Pythagorean theorem you missed a shortcut. Naturally I thought about triangles involving multiples of the following sides: 3,4,5 5,12,13 and 8,15,17. However none of these would suffice. Any other shortcuts?

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14868

Kudos [?]: 287 [0], given: 0

Premium Member
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 [#permalink]

Show Tags

New post 21 Nov 2017, 15:43
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 287 [0], given: 0

Re: A rectangular box is 10 inches wide, 10 inches long, and 5   [#permalink] 21 Nov 2017, 15:43
Display posts from previous: Sort by

A rectangular box is 10 inches wide, 10 inches long, and 5

  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®.