# 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

**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.(12^{2} + 9^{2} + 8^{2})

= 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.