KWH (kilowatt-hours) is an energy (Power in KW x time in Hours if steady power, or otherwise the integral of power with respect to time). KW per minute means a rate of increasing power, and the fact that it is inside a cubic metre doesn't alter the fact that there is no equivalence, and cannot be related.
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The two sets of units are not compatible. While a gallon may be converted to a litre, there is no relationship between kWh and hour.
for a disc type (electromechanical) meter the number of disc revolutions to indicate 1 kwh would be found by the formula 1000/ Kh, the watthour constant of the meter.
There is no simple conversion because there are different gases used for heating and each has its own conversion rate.
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Watts is a unit of power; Joules is a unit of energy. Watts means Joules/second, so you would need to know how long a machine that uses 36 watts (for example, certain light-bulbs) is used.36 watts is simply 36 Joules per second; this is the same as 2160 Joules per minute, or 129,600 Joules per hour.Since the electricity bill is measured in kWh instead of Joule (1 kWh = 3,600,000 Ws = 3,600,000 Joule), you might also say that a device that uses 36 watts uses 0.036 kWh every hour.