Answer :
[tex]a\ \rightarrow\ the\ long\ of\ each\ edge\ of\ the\ cube\\the\ surface\ area\ of\ a\ game\ cube=384\ mm^2\\\\6a^2=384\ /:6\\\\a^2=64\ \ \ \Rightarrow\ \ \ a=8\\\\Ans.\ the\ long\ of\ each\ edge\ of\ the\ cube\ is\ 8\ mm.[/tex]