"Fitting 10' of ductape in an altoids tin sized container doesn't sound easy!"
Why waste precious interior space on duct tape?  I wrapped 5 ft. of duct tape lengthwise on one of those fake plastic credit cards (about 9 full wraps).  Then I taped the bundle to the (outside) bottom of the Altoids tin.  I wrapped a single narrow strip of DT around the seam of the can with an "emergency pull tab" folded back on itself for quick grabbing & easy opening.  The DT is there if I need it, but otherwise it's out of the way.
Sue