IPA: /ˈbɒksɪli/
KK: /bɑksɪli/
In a manner that is characteristic of a box; having a shape or form that is square or rectangular.
The furniture was arranged boxily in the small room, making it feel cramped.
The word 'boxily' is derived from 'box' (from Old English 'box', meaning a container or receptacle) and the suffix '-ily' (meaning in a manner of). Therefore, 'boxily' means in a manner that resembles or pertains to a box.
Think of something that is done 'in a manner of a box' — that's what 'boxily' means.