The maximum length of the stick that can be placed in a cuboid, whose

1.	The maximum length of the stick that can be placed in a cuboid, whose measurements are 8 × 4 × 1, is …………(A) 8 (B) 9 (C) 12 (D) 13
Answer» Correct option is: (B) 9 We have l = length of the cuboid = 8, b = breadth of the cuboid = 4 and h = height of the cuboid = 1 Maximum length of the stick that can be placed in a cuboid = length of diagonal of cuboid = \(\sqrt {l^2+b^2+h^2} = \sqrt {8^2+4^2+1^2} \) \(= \sqrt {64 + 16 +1} = \sqrt {81} = 9\) Correct option is: (B) 9

The maximum length of the stick that can be placed in a cuboid, whose measurements are 8 × 4 × 1, is …………(A) 8 (B) 9 (C) 12 (D) 13

Answer»

Correct option is: (B) 9

We have l = length of the cuboid = 8,

b = breadth of the cuboid = 4 and

h = height of the cuboid = 1

Maximum length of the stick that can be placed in a cuboid = length of diagonal of cuboid

= \(\sqrt {l^2+b^2+h^2} = \sqrt {8^2+4^2+1^2} \)

\(= \sqrt {64 + 16 +1} = \sqrt {81} = 9\)

Correct option is: (B) 9