kWh stands for kiloWatthours, the amount of electrical energy an appliance uses or generates in one hour measured in kiloWatts. It has nothing to do with one cubic metre of water.
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There are at least 5 different definitions for slightly different BTUs. One of them says that 1 kWh = 3412.14 BTUs. Let's use that one. 1 kWh = 3412.14 BTUs 12 kWh = 40,945.68 BTUs
Divide the dollars per kWh by 3,412.14163
If you mean dollars PER mwh and cents PER kwh, divide by 10.
KwH
You cannot. kWh is a measure of energy. There are lots of people in the world who use energy but have no use for a dollar. Kwh and dollars measure different things and, according to the basic principles of dimensional analysis, conversion from one to the other is not valid.