Given:
The dimensions of a box are 3ft, 3ft and 13 ft.
To find:
The length of the longest flagpole that could be shipped inside the box.
Solution:
We know that the length of longest flagpole that could be shipped inside the box is equal to the length of the diagonal.
[tex]Diagonal=\sqrt{l^2+b^2+h^2}[/tex]
Where, l is length, b is breadth and h is height.
[tex]Diagonal=\sqrt{(3)^2+(3)^2+(13)^2}[/tex]
[tex]Diagonal=\sqrt{9+9+169}[/tex]
[tex]Diagonal=\sqrt{187}[/tex]
[tex]Diagonal\approx 13.67[/tex]
Therefore, the longest flagpole that could be shipped is about 13.67 feet long.
