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12 inches = 1 foot Thus the tiles would be 1 foot square. You therefore need 30 to cover a 30 square foot room.
Technically, none. A square foot is a measure of area whereas it is the volume of water that is required. To convert from area to volume it is necessary to know the depth. A twelfth of a cubic foot will cover an area of one square foot to a depth of 1 inch. A cubic foot will cover it to a depth of 1 foot, 100 cubic feet will cover it to a depth of 100 feet.
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A square foot is a unit of area. A quart is a unit of volume. The two units are therefore incompatible.