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What is the length of the longest pole that can be put in a room of dimensions
10m x 10m x 5m.
Question
#129235. Asked by hithesh111. (Jan 29 13 10:41 PM)
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RequiemCube

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In real life, that would depend on the placement of the door to the room.
However, in Math World, it's just the length from one corner to the opposite corner of the room, 15m.
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looney_tunes

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That length is found by applying Pyrhagoras' Theorem. For a rectangular box, rather than making two separate calculations you can cut to the chase and find the square root of (10^2 + 10^2 + 5^2), which is 15, as stated in the previous response.
http://en.wikipedia.org/wiki/Pythagorean_theorem#Solid_geometry
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nautilator

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The pole would have to be sharpened to a point on both ends, and be completely rigid for the pythagorean theorem to be true for it.
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