Find the maximum length of a rod (in m) that can be kept in a cuboidal room of length 10 m, breadth 6 m, and height 8 m.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 10√2.
The maximum length of a rod that can be placed in a cuboid is equal to the diagonal of the cuboid
The diagonal of the cuboid = √(l2 + b2 + h2)
where, l = length, b = breadth and h = height
Diagonal = √(l2 + b2 + h2)
⇒ √(102 + 62 + 82) = √(100 + 36 + 64) = √(200) = 10√2