MathematicsFind the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.


  1. A
    17 m
  2. B
    18 m
  3. C
    14 m
  4. D
    11 m 

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    Solution:

    Given: l=12m  , b=9m   and h=8m  .
    Compute the formula of diagonal of a cuboid to get the length of the rod,
    D= l 2 + b 2 + h 2  
    Substitute the values,
    D= 12 2 + 9 2 + 8 2  
    Simplify the term,
    D= 144+81+64 = 289 =17m   So, the length of the longest rod will be 17 m  .
    Hence, the correct option is 1.
     
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