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# What will be the length of the longest rod which can be placed in a bo

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Joined: 19 Dec 2016
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What will be the length of the longest rod which can be placed in a bo  [#permalink]

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14 Jul 2017, 14:45
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What will be the length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60cm height?

A. √11600cm
B. √14400cm
C. √10000cm
D. √12040cm
E. √13040cm

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What will be the length of the longest rod which can be placed in a bo  [#permalink]

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14 Jul 2017, 16:59
GTExl wrote:
What will be the length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60cm height?

A. √11600cm
B. √14400cm
C. √10000cm
D. √12040cm
E. √13040cm

Kudo please if you liked the ques.

It is A.

$$\sqrt{length^2 + width^2 + height^2}$$

which in this case would make

$$\sqrt{80^2 + 40^2 + 60^2}$$

$$= \sqrt{6400 + 1600 + 3600}$$

$$= \sqrt{11600}$$
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Joined: 22 May 2016
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What will be the length of the longest rod which can be placed in a bo  [#permalink]

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14 Jul 2017, 17:06
GTExl wrote:
What will be the length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60cm height?

A. √11600cm
B. √14400cm
C. √10000cm
D. √12040cm
E. √13040cm

Kudo please if you liked the ques.

The longest length, and therefore where the longest rod would fit, is the diagonal the joins two non-adjacent non-planar corners.

The formula for that distance is a variation on the Pythagorean theorem:

$$d^2 = l^2 + w^2 + h^2$$

$$d^2 = 80^2 + 40^2 + 60^2$$

6400 + 1600 + 3600 = 11,600

$$\sqrt{11,600}$$

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post 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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What will be the length of the longest rod which can be placed in a bo   [#permalink] 14 Jul 2017, 17:06
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