Question

The length of the longest rod that can be the placed in a room 12 m long, 9 m broad and 8 m high is

• A. 17 m
• B. 18 m
• C. 25 m
• D. 16 m

Answer 1

Answer: (A)

17 m

The longest rod that can be placed in the cuboidal room= Length of the diagonal
$=\sqrt{l^2+b^2+h^2}=\sqrt{{\left(12\right)}^2+{\left(9\right)}^2+{\left(8\right)}^2}$
$\sqrt{144+81+64}=\sqrt{289}=17m$