16W RMS into an 8 ohm speaker requires a signal that is 11.3V RMS and a current that is 1.42A RMS. A class-AB amplifier is about 55% efficient so when the output power is 16W then the wasted heating power is 13W so the total power from the power supply is 16W + 13W= 29W.
11.3V RMS is (11.3 x...