Question

Find the length of the longest rod that can be placed in a room 30m long 24m broad and 18m high

Answer 1

l= 30m, b=24m and h=18m

Length of the longest rod -
$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$
$\sqrt{ {30}^{2} + {24}^{2} + {18}^{2} }$
$\sqrt{900 + 576 + 324}$
$\sqrt{1800}$

= 42.42 m