Q. 345.0( 2 Votes )
The length of the longest pole that can be kept in a room (12 m × 9 m × 8 m) is
A. 29 m
B. 21 m
C. 19 m
D. 17 m
Given: A room with dimensions (12 m × 9 m × 8 m)
Room is in the shape of a Cuboid.
Longest rod that can be placed in a room is nothing but its diagonal.
Let length of the rod be ‘L’.
Length of diagonal of a Cuboid = √(l2 + b2 + h2)
∴ L = √(l2 + b2 + h2)
L = √(122 + 92 + 82) m
⇒ L= √(144 + 81 + 64) m
⇒ L = √289 m
⇒ L = 17 m
∴ The length of the longest rod is 17 m
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