a lot
ALL electric heaters tend to use a lot of energy. You will need to look at the wattage for the heater in question. Despite some of the ads for different electric heaters, most have similar efficency.
all electric heaters draw a lot of current (voltage times current = watts [or power]) and a toaster heats bread (no it toasts Bread)
In order to find the correct size space heater, first you need to find the AREA of the room, which is 10 x 12 = 120 square feet. Then you multiply this by 3.41 BTU's = 4092 BTU's. A STANDARD SPACE HEATER will be appropriate (a standard space heater is appropriate for up to 5100 BTUs or 1500 watts). If there are a lot of windows or the ceilings are higher than normal (normal is from 8 ft to 10 ft tall ceilings), than you may need a larger space heater, but in this case, a standard sized space heater will do.
It depends on a lot of factors, however, a 1500 watt heater should draw 12.5 amps at 120v. If you want to use it for 6 hours, a minimum would be 75.However that being said, batteries work non linearly, so you need to take into account the scale on which the battery is being measured. It's like a car. your best horsepower is what they use for their rating, however, that's the peak performance of the vehicle at a set number of RPM's, and will make the mpg suffer.Another factor you may want to consider is that most 120v things which are designed to operate in a home with a 120v receptacle, operate on AC and a battery operates on DC.
Ceramic heaters are considered more efficient than electric conventional heaters, as they heat faster, are more stable when achieving the desired temperature, safer and if used in the lower power settings consume less energy
Different 240 volt watt water heaters use different amounts of watts! Look at your water heater. It should have a plate that lists the watts! On the other hand, the water heater only uses watts when it is heating water. If the family uses paper plates and takes brief showers by getting wet, turning off the shower, applying soap, and then rinsing, it will use a lot less electricity than if every member of the family runs out the tank of hot water taking a hot shower every day.
11,000 watts will run a LOT of things. It MAY run an entire house- depending on the power used by the house. IF the house has electric heat, a deep well pump and electric water heater, maybe not. Gas heat, gas water heater, no well pump, probably yes. You need to add up the wattage used by all systems, add 50% to things that have a starting current (large motors like pumps or heat pumps) and see what you total usage is.
You need to read the instructions that come with the heater. Heaters draw a lot a current and you need to install it properly or else risk a fire and damage to your electrical system.
It's not a bad idea to turn off the water heater especially if it is electric. It will consume power the whole time you are gone to keep the water hot and wastes a lot of electricity.
1500W@12V means a current of 125A, that's quite a lot. You have to check what's the max discharge current allowed for your 12V source. There's no general answer.
Assuming you got that number off an electric kettle it is because that is how much power is needed to heat the water. The number of watts actually measure how much energy the kettle is designed to use. Water is very hard to heat compared to other liquids(or to cool). So it takes a lot of watts to get the kettle to heat the water.