Assuming the 9 by 13-inch pan has 2-inch-tall edges, it can accommodate 14 to 15 cups. Given that 1 quart contains 4 cups, the capacity of the pan is between 3.5 and 3.7 quarts.
These containers have nearly the same capacity as a 9-by-13-by-2-inch cake pan: two 9-inch circular cake pans or two 8-inch square cake pans. In baking, the amount of baking time varies depending on the size of the pan. 30 to 35 minutes are required to bake a 9-by-13-by-2-inch cake in an oven preheated to 350 degrees Fahrenheit.