Question

find the longest pole which can be placed in a cuboidal box which is 15m long 12m wide and 4m high

Answer 1

Dear student
$$\begin{gathered} \mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{longest}\mathrm{pole}\mathrm{which}\mathrm{can}\mathrm{be}\mathrm{placed}\mathrm{in}\mathrm{a}\mathrm{cuboidal}\mathrm{box} \\ =\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{diagonal}\mathrm{of}\mathrm{the}\mathrm{box}. \\ =\sqrt{{\mathrm{l}}^2+{\mathrm{b}}^2+{\mathrm{h}}^2}\left(\mathrm{where}\mathrm{length}\left(\mathrm{l}\right)=15\mathrm{m},\mathrm{breadth}\left(\mathrm{b}\right)=12\mathrm{m},\mathrm{height}\left(\mathrm{h}\right)=4\mathrm{m}\right) \\ =\sqrt{{15}^2+{12}^2+4^2} \\ =\sqrt{225+144+16} \\ =\sqrt{385} \\ =19.62\mathrm{m} \end{gathered}$$
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