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**prathima****Member**- Registered: 2013-09-19
- Posts: 33

find the length of longest iron rod that can be placed in a room of 40m long, 36m broad and 22√2high

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,763

Hi prathima;

Oh wait is it 36m not 30, I will recalculate.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,395

hi prathima

The rod needs to go diagonally from a bottom corner to the opposite top corner.

Use the 3-D version of Pythagoras' theorem:

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,763

Hi;

Here is a shot of the longest possible rod.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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