Really?
Google: how to convert peak watts to true RMS watts
Response:
To convert peak watts to true RMS watts, multiply the peak watts by 0.707.
Remember, the square root of 2 = 1.41421356237 and 1/1.41421356237 = 0.7071067812.
You are not supposed to * by .707 to the power of 2, you are supposed to take the peak power and divide by the square root of 2, hence, 162/(sqr-root2) or 162/1.41421356237 = 115 watts, not 81 watts.
True RMS wattage is not 50% peak wattage like with you 81 watt calculation. That is just plain wrong!
162 watts peak would mean a square wave at 72vp-p.
115 watts RMS would means a sine wave with 72vp-p.
81 watts would mean a square wave with 50% on duty cycle. Sine waves deliver more effective power than that.
There are no such things as "RMS Watts"!
It is a completely meaningless measurement.
The best you can measure is average power,, which is RMS volts x RMS amps.
RMS volts are 0.707 x peak volts, & RMS current is 0.707 x peak current.
The whole idea of RMS values of voltage & current was so electrical engineers, who in those days dealt with things that actually did stuff, like boiling water & lifting objects could use the existing power formulas with ac.
If you had a DC lift (elevator) motor for instance, it was important to be able to compare its performance with an ac motor to choose the right size motor of the latter type.
The nominal "230v"RMS mains has a peak voltage of around 325 volts, & will illuminate an incandescent light bulb to the same brightness level as 230v DC.
The voltage across that lightbulb is expressed as RMS voltage, & the current through it as RMS current.
Using P =VI, 0.707 is multiplied by 0.707, giving near as dammit 0.5.
Remember power is "the rate of doing work".
The value of VI measured instantaneously at various points across each halfway varies from zero at the zero crossing to Vp x Ip at each peak, so real usable power varies across the waveform, & average power is the only thing we have to "do work" in the real world.