Question

Find the length of the largest pole that can be placed in a hall 10 m long, 10 m wide and 5 m high.

Answer 1

Length of the diagonal of the room = $\sqrt{{\mathrm{l}}^2+{\mathrm{b}}^2+{\mathrm{h}}^2}$
= $\sqrt{{\left(10\right)}^2+{\left(10\right)}^2+{\left(5\right)}^2}$ m
= $\sqrt{100+100+25}$m
= $\sqrt{225}$m = 15 m

Hence, length of the largest pole that can be placed in the given hall is 15 m.