Find the length of the longest bamboo pole that can be placed in a room 16 m long, 12 m broad and 10 m high.

$10\sqrt{5}$ cm

The length of the room = 16

Breath of the room = 12

Height of the room = 10

The length of the bamboo that can be placed inside this room is given by = \(\sqrt {l^2 + b^2 + h^2}\)

= \(\sqrt {16^2 + 12^2 + 10^2}\)

= \(\sqrt {256 + 144 + 100}\) = \(\sqrt {500}\)

The length of the bamboo that can be placed inside this room is = 10\(\sqrt {5}\)