どうしても箱が開かなかった。

by all means; at any cost; no matter what; after all; in the long run; cravingly; at any rate; surely

box; case; chest; package; pack; car (of a train, etc.); shamisen case; shamisen; public building; community building; man who carries a geisha's shamisen; receptacle for human waste; feces (faeces); counter for boxes (or boxed objects)

indicates sentence subject (occasionally object); indicates possessive (esp. in literary expressions); but; however; still; and

to open; to undo; to unseal; to unpack; to bloom; to unfold; to spread out; to open (for business, e.g. in the morning); to be wide (gap, etc.); to widen; to hold (meeting, etc.); to give; to open; to found (nation, dynasty, sect, etc.); to open (a new business); to set up; to establish; to start; to open (ports, borders, etc.); to open (an account); to open up (new land, path, etc.); to clear; to develop; to open (a file, etc.); to extract (root); to reduce (equation); to cut open (fish); to change (kanji into hiragana); to flare (e.g. skirt); to slacken (into a poor posture)