The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body types, their weights would wary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 165 pounds, approximately how much would a man of 8 feet 11 inches (107 inches) weigh?