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Q.

The length of the largest pole that can be placed in a room of dimensions 12m ×  4m ×   3 m is


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a

    13m

b

    15m

c

    20m

d

    10m 

answer is A.

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Detailed Solution

It is given a room of dimensions 12m ×  4m ×   3 m.
We know that, length of longest diagonal of cuboid = L 2 + B 2 + H 2  .
When, L = 12m, B = 3m and H = 4m.  The length of the largest pole =
12 2 + 3 2 + 4 2 144+9+16 169 13 m  
The length of the largest pole is 13m.
Therefore, the correct option is 1.
 
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The length of the largest pole that can be placed in a room of dimensions 12m ×  4m ×   3 m is