Quarts measures volume but the coordinates you have specified only provide an area. You cannot tell how many quarts fit into it without specifying the height of the dish.
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9x9 is a measure of area. A quart is a measure of volume. According to the basic principles of dimensional analysis, conversion from one to the other is not valid
Assuming 9x9 is also in feet, then answer is 81 square feet.
9x9=81
6,670,903,752,021,072,936,960
81