Question

Find the length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m).

Answer 1

Length of the longest pole = length of the diagonal of the room
$$\begin{gathered} =\sqrt{l^2+b^2+h^2}\mathrm{m} \\ =\sqrt{{10}^2+{10}^2+5^2}\mathrm{m} \\ =\sqrt{100+100+25} \\ =\sqrt{225}=15\mathrm{m} \end{gathered}$$