A form of programmed cell death induced by external or internal signals that trigger the activity of proteolytic caspases, whose actions dismantle a striated muscle cell and result in its death. Striated muscle cells make up striated muscle fibers which are divided by transverse bands into striations. [ GOC:tb http://purl.obolibrary.org/obo/CL_0000737 GOC:dph GOC:mtg_apoptosis ]