MathematicsThe length of the longest rod that can be placed in a box of dimension 12 m×9 m×8 m   is ____m.

The length of the longest rod that can be placed in a box of dimension 12 m×9 m×8 m   is ____m.


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    Solution:

    The length of the longest rod that can be placed in a box of dimension 12 m×9 m×8 m   is 17 m.
    Given,
    The dimension of a box are 12 m×9 m×8 m  .
    Length of the longest rod that can fit in a box is the diagonal of that box, which is given by,
    L= 12 2 + 9 2 + 8 2 L= 144+81+64 L= 289 L=17m  
    Hence, the length of the longest rod that can be placed in a 12m×9m×8m   box is 17m.
    Therefore, the correct answer is 17.
     
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