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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 66 m
Given:
Length = 56 m, breadth = 34 m and height = 8 m
Formula used:
Diagonal (longest) = √(l2 + b2 + h2) ----- (1)
where, l = length, b = breadth and h = height
Calculation:
Using equation (1), we get
length of the longest ladder = √(562 + 342 + 82)
⇒ √(3136 + 1156 + 64)
⇒ √4356
⇒ 66 m