The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is-

Question: The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is-Solution:Length of room = 30 mBreadth of room = 24 mHeight of room = 18 mLength of the longest rod = Diagonal of the room = √(302 + 242 + 182)= √(900 + 576 + 324)= √(1800)= √(900 × 2)= 30√2