Question

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

Answer 1

Step-by-step explanation:

The length of the longest rod that can be placed in a room will be equal to the diagonal of the room. Therefore

$Length \: of \: the \: rod = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \\ = \sqrt{ {12}^{2} + {9}^{2} + {8}^{2} } \\ = \sqrt{144 + 81 + 64} = \sqrt{289} \\ = 17 \: m$