Question : The longest rod that can be placed in a room is 12 metres long, 9 metres broad, and 8 metres high is:
Option 1: 27 m
Option 2: 19 m
Option 3: 17 m
Option 4: 13 m
Correct Answer: 17 m
Solution : Length of room, l = 12 m Breadth, b = 9 m Height, h = 8 m The longest rod to be kept in the room = diagonal of the cuboid = $\sqrt{l^2 + b^2 + h^2}$ = $\sqrt{12^2 + 9^2 + 8^2}$ = $\sqrt{144+81+64}$ = $\sqrt{289}$ = 17 m Hence, the correct answer is 17 m.
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