Ti: Gets curious about the box, gets a book, and spends the next few hours finding out that the box is made of wood, it is a 4x4x4 cube, and the air inside it is 73% nitrogen, 20% oxygen, and 6% argon.
it doesent take hours to find out that the box is made out of wood. and imo Te is the one that goes looking from information elsewhere(internet or that book) about the box, Ti figures it out by himself.
i think it would be more like this:
picks up the box, examines it closely from all angles, how it is made, is it sturdy, measures it, makes an estimation about how much empty space is inside it by looking at how think wood blanks have been used to made it, shakes it to find out if there is something inside etc. after this Ti will ask for help for other functions to find a use for the box or maybe some parts of the box.