What is the greatest possible (straight line) distance, in inches, between any two points on a rectangular box that is 10 inches wide, 10 inches long, and 0.1 inches high?
A. √(100.01)
B. √(101)
C. √(200.01)
D. √(200.1)
E. √(201)
The OA is the option C.
How can I find that distance? Is there a strategic approach? I'd appreciate some help here. <i class="em em-confused"></i>
What is the greatest possible (straight line) distance
This topic has expert replies
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
The longest line that can be drawn inside a rectangular solid is called the MAIN DIAGONAL.VJesus12 wrote:What is the greatest possible (straight line) distance, in inches, between any two points on a rectangular box that is 10 inches wide, 10 inches long, and 0.1 inches high?
A. √(100.01)
B. √(101)
C. √(200.01)
D. √(200.1)
E. √(201)
Use the SUPER-PYTHAGOREAN THEOREM.
If d = the length of the main diagonal, then:
d² = l² + w² + h².
In the problem above:
d² = 10² + 10² + (0.1)²
d² = 100 + 100 + 0.01
d² = 200.01
d = √(200.01)
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
The greatest possible distance in a box is the diagonal of the box. It has the formula:VJesus12 wrote:What is the greatest possible (straight line) distance, in inches, between any two points on a rectangular box that is 10 inches wide, 10 inches long, and 0.1 inches high?
A. √(100.01)
B. √(101)
C. √(200.01)
D. √(200.1)
E. √(201)
d^2 = l^2 + w^2 + h^2
So here we have:
d^2 = 10^2 + 10^2 + 0.1^2
d^2 = 100 + 100 + 0.01
d^2 = 200.01
d = √(200.01)
Answer: C
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews