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.
Answer & explanation
Correct answer: option 1
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