[tex]The\ volume\ of\ the\ cube:V=a^3\ \ \ \ \ (a-the\ length\ edge\ of\ the\ cube)\\\\-------------------------------\\\\V=3375\ in^3\\\\therefore\\\\a^3=3375\ in^3\to a=\sqrt[3]{3375\ in^3}=\boxed{15\ in}\leftarrow answer\\\\because\ 15^3=3375[/tex]