Find the length of the longest rod that can be placed in a room 12 m l

1.	Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.
Answer» Given details are, Length of room = 12 m Breadth of room = 9m Height of room = 8m So, Length of longest rod that can be placed in room = diagonal of room (cuboid) = √(l² + b² + h²) = √(12² + 9² + 8²) = √(144+81+64) = √(289) = 17m

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

Answer»

Given details are,

Length of room = 12 m

Breadth of room = 9m

Height of room = 8m

So,

Length of longest rod that can be placed in room = diagonal of room (cuboid)

= √(l² + b² + h²)

= √(12² + 9² + 8²)

= √(144+81+64)

= √(289)

= 17m