Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Oct 2016, 20:44

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 4

Kudos [?]: 2095 [2] , given: 0

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

### Show Tags

26 Dec 2012, 07:23
2
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

76% (01:52) correct 24% (01:15) wrong based on 754 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
Math Expert
Joined: 02 Sep 2009
Posts: 35275
Followers: 6636

Kudos [?]: 85576 [2] , given: 10237

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

### Show Tags

26 Dec 2012, 07:26
2
KUDOS
Expert's post
7
This post was
BOOKMARKED
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:

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: $$D=\sqrt{10^2+10^2+5^2}=15$$.

Similar question to practice: a-rectangular-box-has-dimensions-of-8-feet-8-feet-and-z-128483.html
_________________
Current Student
Joined: 13 Feb 2011
Posts: 104
Followers: 0

Kudos [?]: 27 [1] , given: 3359

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

### Show Tags

06 May 2014, 12:50
1
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.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12215
Followers: 542

Kudos [?]: 151 [0], given: 0

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

### Show Tags

03 Jun 2015, 23:24
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.
_________________
Senior Manager
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 299
Followers: 16

Kudos [?]: 77 [0], given: 2

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

### Show Tags

07 Jul 2016, 10:19
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
Jeffrey Miller

Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 40

Kudos [?]: 154 [0], given: 36

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

### Show Tags

17 Jul 2016, 00:51
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
$$d=\sqrt{l^2+b^2+h^2}$$

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

$$d=\sqrt{225}= 15$$

_________________

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.

Intern
Joined: 21 Jul 2016
Posts: 3
Followers: 0

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

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

### Show Tags

22 Sep 2016, 08:33
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?
Re: A rectangular box is 10 inches wide, 10 inches long, and 5   [#permalink] 22 Sep 2016, 08:33
Similar topics Replies Last post
Similar
Topics:
2 A thin rectangular sheet of metal is 6 inches wide and 10 inches long 4 15 May 2016, 00:40
8 A rectangular box is 12 inches wide, 16 inches long, and 20 inches hig 9 09 Jul 2015, 04:21
11 A box measuring 54 inches long by 36 inches wide by 12 6 19 Nov 2012, 07:33
2 A rectangular box is 6sqr2 inches high, 6sqr2 inches wide, 1 12 May 2012, 07:10
5 A rectangular box is 10 inches wide, 10 inches long, and 5 inches high 6 23 Feb 2011, 11:27
Display posts from previous: Sort by