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#1 2014-04-12 14:51:07

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

mensuration

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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#2 2014-04-12 19:04:58

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

Re: mensuration

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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#3 2014-04-12 19:07:26

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

Re: mensuration

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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#4 2014-04-12 20:11:06

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

Re: mensuration

Hi;

Here is a shot of the longest possible rod.

View Image: 2014-04-13_010647.gif

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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