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
Answer (1)
10th Jan, 2024
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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