The length of a cuboidal room is 56 m, its breadth is 34 m and its height is 8 m. Find the length of the longest ladder that can be placed in the room.

66 m

We know that,

Maximum length ladder = \(\sqrt {l^2 + b^2 + h^2}\) 

Length = 56 cm

Breadth = 34 cm

Height = 8 cm

Maximum length ladder = \(\sqrt {56^2 + 34^2 + 8^2}\)

= \(\sqrt {3136 + 1156 + 64}\)  = \(\sqrt {4356}\) = 66 cm