I have found this question in one of my Universities old pass papers and I'm trying to solve this:
You have a fishing rod of length 2 and need to ship it in a box which sides are not longer than 1. In spaces Rn of at least which dimensional n will you be able to fit the rod into the box without bending or breaking at the inter-dimensional post office (which works with Euclidean distances)? Find the smallest possible dimension n as any additional dimensions cost extra.
By any chance could someone provide a hint/step on how i can solve this?
You should write out the formula of the theorem of Pythagoras in $n$ dimensions and ask yourself for which values of $n$ the hypothenuse becomes long enough.