You decide to move to Antarctica to study penguins and want a house that will keep you warm through the winter. You decide to build the house out of concrete shaped like a box with a flat roof with walls, roof, and foundation that are 3 feet thick. The overall dimensions of the house are 20 feet by 30 feet by 10 feet high. You want to maintain the inside temperature at 70?F, and you assume that the outside temperature will be a constant ?28?C (the average temperature for the month of August). You have a tank of heating oil which you can use to heat your house. Your heating system is 71% efficient, meaning that 71% of the energy content of the heating oil actually goes toward heating the house. Heat is lost through all surfaces of the house, including the floor.
How big a tank do you need to store enough oil to heat your home for a week? The energy content of the oil is 46.2MJ/kg and its density is 0.85g/cm3?