A rectangular box

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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Tue Nov 01, 2011 4:46 am

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

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Source: Beat The GMAT — Problem Solving | Tue Nov 01, 2011 4:46 am

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Anurag@Gurome: 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 Nov 01, 2011 4:53 am

GmatKiss 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?

Greatest possible distance between any two points in a rectangular parallelogram is the length of main diagonal.

Length of main diagonal of the box = âˆš(10Â² + 10Â² + 5Â²) = âˆš225 = 15

The correct answer is A.

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shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Tue Nov 01, 2011 4:53 am

Longest distance would be the diagonal of the box;
Srrt(100+100+25) = 15

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sam2304: Legendary Member; Posts: 1239; Joined: Tue Apr 26, 2011 6:25 amFollowed by: 26 members; Thanked: 233 times; GMAT Score:680

by sam2304 » Tue Nov 01, 2011 4:54 am

Greatest possible distance = sqrt(10^2 + 10^2 + 5^2) = sqrt(225) = 15

IMO A.

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Tue Nov 01, 2011 4:56 am

GmatKiss 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

Option A Attachment is completely out of scale

Attachments

Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Nov 01, 2011 5:49 am

If you'd like to try a related question, with video solution, you can watch video #12 at https://www.gmatprepnow.com/module/gmat-geometry (it's free).

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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