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

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

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New post 06 Dec 2017, 03:21
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Question Stats:

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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√2
(E) 10√3
[Reveal] Spoiler: OA

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Kudos [?]: 139513 [0], given: 12794

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

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New post 06 Dec 2017, 03:37
We can use super Pythagoras theorem here:

l^2+b^2+w^2
100+100+25
225
√225

A. 15

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

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New post 06 Dec 2017, 03:47
Bunuel 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
(D) 10√2
(E) 10√3


\(Diagnoal of Cube = \sqrt{l^2 + b^2 + h^2}\)
\(\sqrt{100 + 100 + 25}\)
15
A
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Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high [#permalink]

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New post 12 Dec 2017, 14:36
What level question would this be?

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Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high   [#permalink] 12 Dec 2017, 14:36
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A rectangular box is 10 inches wide, 10 inches long, and 5 inches high

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