Question

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

Answer 1

take the lcm of 12, 9,8,

Answer 2

$<font size = 7>⍟</font>$ Longest rod = Diagonal of cuboid

= √( l²+b²+h²)

=√(12² + 9² + 8² )

=√( 144+81+64)

=√(289)

=17

Hence, longest rod that can be placed in a room of dimensions 12m x 9m x 8m is 17 m