The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is

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Submitted by examrobotsa on

Q: 64 (IAS/2002)
The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,5,2,0,1,5,1

keywords: 

{'longest pole': [0, 0, 1, 0], 'length': [0, 0, 1, 0], 'room': [0, 1, 3, 4]}

To find the length of the longest pole that can be placed in the given room, we need to determine the diagonal distance from one corner of the room to the opposite corner.

Using the Pythagorean theorem, the diagonal distance (D) can be calculated as follows:

D = ?(length² + width² + height²)

Plugging in the values:

D = ?(12² + 9² + 8²)

D = ?(144 + 81 + 64)

D = ?(289)

D = 17

Therefore, the length of the longest pole that can be placed in the given room is 17 meters.

Hence, the correct answer is 17 m.