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Question

The length of the longest pole that can be kept in a room (12 m×9 m×8 m) is

(a) 29 m (b) 21 m (c) 19 m (d) 17 m

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Solution

Given length l = 12 m
breadth b = 9 m and height h = 8 m
Longest rod that can be placed in a room is nothing but its diagonal.
Length of diagonal of a cuboid = square root of l squared plus b squared plus h squared end root
Length of longest rod = square root of 12 squared plus 9 squared plus 8 squared end root m
= square root of 144 plus 81 plus 64 end root m
= square root of 289 m
= 17 m
Thus the length of the longest rod is 17 m
option d is correct


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