A room is 12 m long, 9 m wide and 8 m high :

A room is 12 m long, 9 m wide and 8 m high. What is maximum length of a rod that can kept in the room ?
(a) 17 m
(b) 16 m
(c) 15 m
(d) 14 m

Anurag Mishra Professor Asked on 10th February 2016 in Maths.
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1 Answer(s)

Answer: (a) 

Solution:-
The length of a room = 12 m
The wide of a room = 9 m
The height of a room = 8 m

Then, the diagonal of a room = sqrt.(122 + 92 + 82)
= sqrt.(144 + 81 + 64)
= sqrt. 289
=17 m

The maximum length of a rod that can be kept in the room = diagonal of the room = 17 m

Hence, the correct answer is option (a) 17 m.

Anurag Mishra Professor Answered on 10th February 2016.
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