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

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Math Expert
Joined: 02 Sep 2009
Posts: 44573
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high [#permalink]

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06 Dec 2017, 04:21
00:00

Difficulty:

15% (low)

Question Stats:

77% (00:46) correct 23% (00:20) wrong based on 42 sessions

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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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Intern
Joined: 30 Sep 2017
Posts: 11
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high [#permalink]

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06 Dec 2017, 04:37
We can use super Pythagoras theorem here:

l^2+b^2+w^2
100+100+25
225
√225

A. 15

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Director
Joined: 18 Aug 2016
Posts: 630
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high [#permalink]

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06 Dec 2017, 04:47
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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Luckisnoexcuse

Senior Manager
Joined: 15 Jan 2017
Posts: 361
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high [#permalink]

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12 Dec 2017, 15:36
What level question would this be?
Re: A rectangular box is 10 inches wide, 10 inches long, and 5 inches high   [#permalink] 12 Dec 2017, 15:36
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