Two escaped convicts are found hiding in a rocket ship built by a renegade inventor, who forces them to become the crew for a trip to the Moon. Also on board, as inadvertent stowaways, are his assistant and his secretary; and none of them are aware that the inventor is actually a Lunarian explorer sent to Earth by the dying Lunar civilization.

One day, the three self-described Teen Angels, Brenda (brunette), Dee Dee (African-American) and Taffy (blond) found a caveman encased within a prehistoric block of glacial ice, and they set him free.