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

It is currently 22 Oct 2019, 09:26

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

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

Find Similar Topics 
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 173
A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 26 Dec 2012, 07:23
4
19
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (01:12) correct 25% (01:36) wrong based on 1205 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) \(10\sqrt{3}\)
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58421
Re: A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 26 Dec 2012, 07:26
9
9
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
_________________
General Discussion
Manager
Manager
avatar
B
Joined: 13 Feb 2011
Posts: 79
GMAT ToolKit User
Re: A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 06 May 2014, 12:50
1
1
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.
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 07 Jul 2016, 10:19
3
1
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
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Director
Director
User avatar
B
Joined: 04 Jun 2016
Posts: 556
GMAT 1: 750 Q49 V43
A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 17 Jul 2016, 00:51
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.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13408
Re: A rectangular box is 10 inches wide, 10 inches long, and 5  [#permalink]

Show Tags

New post 21 Aug 2019, 23:55
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 Club Bot
Re: A rectangular box is 10 inches wide, 10 inches long, and 5   [#permalink] 21 Aug 2019, 23:55
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  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne