Question

Find the length of the longest rod that can be placed in room $12m$ wide and $8m$ high.

Answer 1

Given that:

length $l=12m$

breadth $b=9m$

and

height $h=8m$

Longest rof that can be placed in a room is nothing but its diagonal.

Length of diagonal of a cuboid$=\sqrt{\left(l^2+b^2+h^2\right)}$

Length of longest rod $=\sqrt{\left({12}^2+9^2+8^2\right)}m=\sqrt{\left(144+81+64\right)}m=\sqrt{289}m=17m$

The length of the longest rod is $17m$.