Increasing the depth or volume of food in a larger batch generally requires a longer cooking time because it takes more time for heat to penetrate to the center and cook the food thoroughly. A thicker lasagna, for example, will need significantly more time in the oven than a thinner one.
When you increase the depth or volume of food being cooked, you're essentially increasing the distance heat needs to travel to reach the center. Heat transfer occurs through conduction, convection, and radiation. In a larger batch, the outer layers of the food will heat up relatively quickly, but the center will lag behind. This is because the heat has to work its way through more layers of ingredients.
Consider a lasagna: a thin lasagna will heat through much faster because the heat from the oven can penetrate the layers of pasta, sauce, and cheese relatively quickly. However, if you double the recipe and create a much thicker lasagna, the heat has to travel through twice as many layers. This means the outer layers might be perfectly cooked (or even overcooked) while the center is still cold or undercooked.
Therefore, you need to increase the cooking time to allow sufficient heat to reach the center and ensure the entire dish is cooked to a safe and palatable temperature. The exact increase in cooking time will depend on the specific food, the oven temperature, and the degree to which the volume or depth has been increased. It's always best to check the internal temperature with a food thermometer to ensure it's properly cooked.
When cooking larger batches, lower the oven temperature slightly and extend the cooking time. This helps to prevent the outer layers from overcooking while ensuring the center is thoroughly heated. For example, if a recipe calls for 375°F for 30 minutes, try 350°F for 45-60 minutes when doubling the recipe. Always check the internal temperature to be sure!