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# What is the greatest possible (straight line) distance, in inches, bet

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Math Expert
Joined: 02 Sep 2009
Posts: 60687
What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 02:05
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Difficulty:

15% (low)

Question Stats:

91% (01:27) correct 9% (02:37) wrong based on 67 sessions

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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)

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Joined: 05 Jun 2015
Posts: 73
Location: United States
WE: Engineering (Transportation)
What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 03:25
Diagonal of a rectangular box is $$d^{2} = a^{2} + b^{2} + c^{2}$$
where a, b and c are the sides of the rectangular box.

In this case, diagonal is \sqrt{100+ 100+ 0.01}
= \sqrt{200.01}
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Re: What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 03:33
Answer C. I found diagonal of the square and then diagonal of the rectangular solid, which is square root of 200.01

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Re: What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 04:10
the longest straight line distance will be the diagonal of the rectangular box which is sqrt (200+ 0.01)
Intern
Joined: 05 Sep 2015
Posts: 43
Re: What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 07:09
the largest distance between any two points in a cuboid is the diagonal .
the length of the diagonal = root of l^2+b^2+h^2.
root of 10^2+10^2+0.1^2 = root of 200.01
Intern
Joined: 05 Sep 2015
Posts: 43
Re: What is the greatest possible (straight line) distance, in inches, bet  [#permalink]

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13 Sep 2016, 07:10
the largest distance between any two points in a cuboid is the diagonal .
the length of the diagonal = root of l^2+b^2+h^2.
root of 10^2+10^2+0.1^2 = root of 200.01
Re: What is the greatest possible (straight line) distance, in inches, bet   [#permalink] 13 Sep 2016, 07:10
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