Question : What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad, and 20 feet high?
Option 1: 50 feet
Option 2: 70 feet
Option 3: 30 feet
Option 4: 20 feet
Correct Answer: 70 feet
Solution :
Here, the hall has length = 60 feet, breadth = 30 feet, and height = 20 feet
As the length of the longest rod that can be placed in a room is its diagonal
Now, the length of the diagonal of a cuboid = $\sqrt{l^2+b^2+h^2}$
So, the length of the longest rod = $\sqrt{60^2+30^2+20^2}$ = $\sqrt{4900}$ = 70 feet
Hence, the correct answer is 70 feet.
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