Question

you construct a cubical box with side length 12 inches. You need to place a thin stick into the box and still close the lid. What is the length of the longest stick you can place in the box.

Answer 1

Assuming all side lengths are 12 inches, the longest stick you can place in the box is \[\sqrt{12\times12\times12} = \sqrt{1728} \approx 41.57\]