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# A carpenter wants to ship a copper rod to his new construction locatio

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Intern
Joined: 04 Oct 2014
Posts: 11
GMAT 1: 650 Q44 V35
A carpenter wants to ship a copper rod to his new construction locatio  [#permalink]

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01 Nov 2014, 14:23
4
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:49) correct 23% (02:18) wrong based on 156 sessions

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A carpenter wants to ship a copper rod to his new construction location in his toolbox. The rod cannot be bent and has a negligible width. The rectangular tool case he is using is 12 inches wide by 16 inches long by 20 inches high. Which of the following is the longest possible rod that can fit in the toolbox?

A. 22 inches
B. 25 inches
C. 28 inches
D. 30 inches
E. 34 inches
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Joined: 02 Sep 2009
Posts: 58443
Re: A carpenter wants to ship a copper rod to his new construction locatio  [#permalink]

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02 Nov 2014, 07:13
2
jgk wrote:

A carpenter wants to ship a copper rod to his new construction location in his toolbox. The rod cannot be bent and has a negligible width. The rectangular tool case he is using is 12 inches wide by 16 inches long by 20 inches high. Which of the following is the longest possible rod that can fit in the toolbox?

A. 22 inches
B. 25 inches
C. 28 inches
D. 30 inches
E. 34 inches

We are basically asked to find the length of the diagonal of the solid, which is $$\sqrt{12^2+16^2+20^2}=\sqrt{800}=2-\sqrt{2}\approx{28}$$.

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A carpenter wants to ship a copper rod to his new construction locatio  [#permalink]

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03 Nov 2014, 23:34
2
Diagonal of the box $$= \sqrt{12^2 + 16^2 + 20^2} = \sqrt{800} = \sqrt{400} * \sqrt{2} = 20 * 1.414 = 28.28$$

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Re: A carpenter wants to ship a copper rod to his new construction locatio  [#permalink]

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21 Dec 2018, 17:23
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Re: A carpenter wants to ship a copper rod to his new construction locatio   [#permalink] 21 Dec 2018, 17:23
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