A cane is being packed in a box. The box measures 20 inches by 12 inches by 6 inches. What is the longest cane, to the nearest inch, that will fit in the box?​

Respuesta :

Answer:

The box is a cuboid. The longest to fit in will be kept diagonally. So we will find the diagonal of the cuboid.

      [tex]Diagonal = \sqrt{L^{2}+ B^{2}+ H^{2} } = \sqrt{20^2+ 12^2+6^2 }=\sqrt{400+144+36}\\[/tex]

                            [tex]\sqrt{580} = 24.08 =24inch[/tex]