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What is the greatest possible straightline distance, in centimeters,
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04 Dec 2017, 22:03
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What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment:
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Re: What is the greatest possible straightline distance, in centimeters,
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04 Dec 2017, 22:14
Bunuel wrote: What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment: 20171205_0959_001.png Bottom Plane to calculate the Hypotenuse \(10^2 + 20^2 = 500\) \(Hypo = 10\sqrt{5}\) Plane parallel to Height \(B = 10\sqrt{2}\) \(Height = 10\) \(Hypo = \sqrt{(100 + 500)} = 10\sqrt{6}\) C
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Re: What is the greatest possible straightline distance, in centimeters,
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05 Dec 2017, 10:03
Bunuel wrote: What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment: 20171205_0959_001.png Is 20 cm correctly placed? I feel like 20 cm and 10 cm are referring to same length Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app



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What is the greatest possible straightline distance, in centimeters,
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05 Dec 2017, 10:28
Bunuel wrote: What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment: 20171205_0959_001.png The longest straightline distance in a right rectangular prism (a rectangular box) is between two opposite corners of the box. If the measurements of the box are \(x, y, z\), then the distance between two opposite corners, often called a "space diagonal," \(d\), is \(\sqrt{x^2 + y^2 + z^2}\)Here, \(10^2 + 10^2 + 20^2 = d^2\) \(600 = d^2\) \(d = \sqrt{100 * 6} = 10\sqrt{6}\)Answer C lesner19 , I agree, one measurement is mismarked. Whether you use one step or two to get the length of the space diagonal, though, the answer is the same because both depend on three distinct lengths.
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Re: What is the greatest possible straightline distance, in centimeters,
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05 Dec 2017, 10:45
Formula for the diagonal of a rectangular box is always: \(\sqrt{a^2+b^2+c^2}\) Therefore it is just  = \(\sqrt{10^2 + 10^2 + 20^2}\) = \(\sqrt{100 + 100 + 400}\) = \(\sqrt{600}\) = 10\(\sqrt{6}\)
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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:12
Bunuel wrote: What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment: 20171205_0959_001.png BunuelI think bottom 10 and top 20 reflect the same length and are incorrectly placedcan you please confirm/correct? Thanks



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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:16



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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:21
Bunuel wrote: KS15 wrote: Bunuel wrote: What is the greatest possible straightline distance, in centimeters, between two vertices of the rectanglar box shown above? (A) 10√2 (B) 10√5 (C) 10√6 (D) 30 (E) 40 Attachment: 20171205_0959_001.png BunuelI think bottom 10 and top 20 reflect the same length and are incorrectly placedcan you please confirm/correct? Thanks Yes, 10, 10 and 20 are width, breadth and length of the rectangle. I think you did not understand my pointplease see the figure. Bottom 10 and top 20 seem to reflect the same dimensions whereas they should be different.



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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:23



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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:28
Bunuel wrote: KS15 wrote: I think you did not understand my pointplease see the figure. Bottom 10 and top 20 seem to reflect the same dimensions whereas they should be different. It's clear that the figure has a typo in it but it's obvious what the question means. Well if it were clear, then 2 people would not be raising this pointAlso, I wasted a few minutes trying to figure out how the width can be both 10 and 20so it is certainly not obvious .



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Re: What is the greatest possible straightline distance, in centimeters,
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15 Dec 2017, 01:30
KS15 wrote: Bunuel wrote: KS15 wrote: I think you did not understand my pointplease see the figure. Bottom 10 and top 20 seem to reflect the same dimensions whereas they should be different. It's clear that the figure has a typo in it but it's obvious what the question means. Well if it were clear, then 2 people would not be raising this pointAlso, I wasted a few minutes trying to figure out how the width can be both 10 and 20so it is certainly not obvious . Archived the question. Thank you very much for valuable input. == Message from the GMAT Club Team == THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.
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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.
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Re: What is the greatest possible straightline distance, in centimeters, &nbs
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