The area of a 9x13 pan is 117 square inches. To work out how much marscapone you need, you need to calculate the area of the pan you want to use. For example, if you want to use a 9-inch round pan, you need to multiply the radius (4.5) by itself (4.5 x 4.5 = 20.25) and then multiply that by 3.14 (pi). This gives you 63.6 square inches, which you can round to 64. As 64 is less than half of 117, you will need less marscapone than if you were using a 9x13 pan.
What You'll Learn
A 9x13 pan is 117 square inches
This calculation is useful when you want to substitute a different-sized pan in a recipe that calls for a 9x13 pan. For example, if you want to use a round pan instead of a rectangular one, you can divide the square inches of the 9x13 pan by 2 to get the number of square inches needed in the round pan. This will give you two round pans that are each about 58.5 square inches. So, you could use two 9-inch round pans, which are each 64 square inches, or two 8-inch round pans, which are each 50 square inches.
It's important to note that the depth of the pan also matters when substituting pans. A 9x13 pan that is 2 inches deep will hold more batter than a 9x13 pan that is only 1 inch deep. So, when substituting pans, try to use a pan with a similar depth to the original pan in the recipe.
Additionally, when substituting a different-sized pan, you may need to adjust the baking time and temperature. If the new pan makes the batter shallower, the heat will reach the centre of the pan more quickly and there will be more evaporation. In this case, you should shorten the baking time and raise the oven temperature slightly. On the other hand, if the new pan makes the batter deeper, it will take longer to cook, and you will need to lower the oven temperature to prevent over-browning.
Finally, when substituting pans, it's always a good idea to keep an eye on the oven and check for doneness earlier than the recipe states, as the baking time may need to be adjusted.
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To convert a 9x13 recipe for an 8x8 pan, halve the ingredients
To convert a 9x13 recipe for an 8x8 pan, you need to halve the ingredients. This is because a 13x9 pan has a surface area of 117 square inches, while an 8x8 pan has a surface area of 64 square inches. This means the 8x8 pan is almost exactly half the size of the 13x9 pan.
If you're halving a baking recipe, you'll want to weigh your ingredients and use exactly half of everything. However, if you're halving a savoury casserole recipe, you can simply cut all the ingredients in half without needing to weigh them. For example, if a whole egg is called for in the original recipe, you can simply use the entire egg in the halved recipe. The extra tablespoon or two of liquid from the egg won't make much of a difference to the overall dish.
If you're not confident with your maths skills, you can always make the full recipe and freeze half of it for later. Alternatively, you can bake the full recipe in your 13x9 pan and cut out individual portions to freeze for perfectly pre-portioned lunches.
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To convert an 8x8 recipe for a 9x13 pan, double the ingredients
To convert a recipe from an 8x8 pan to a 9x13 pan, you will need to double the ingredients. This is because a 9x13 pan has a larger surface area than an 8x8 pan.
The surface area of a square or rectangular pan can be calculated by multiplying the length of one side by the other. So, for a 9x13 pan, that's 9 x 13 = 117 square inches. An 8x8 pan is 8 x 8 = 64 square inches.
This means that a 9x13 pan is about 1.8 times larger than an 8x8 pan (117/64 = 1.82). Therefore, to convert a recipe from an 8x8 pan to a 9x13 pan, you will need to multiply all the ingredient quantities by 1.8, or, to make your life easier, double the ingredients.
It is worth noting that this calculation assumes that the depth of the pans is the same. If the depth of the pans is different, you may need to make further adjustments to the recipe.
Additionally, while doubling the ingredients will give you the correct amount of batter to fill the 9x13 pan, you may need to adjust the cooking time and temperature. A shallower batter will cook faster than a thicker batter, so keep an eye on your bake and adjust as needed.
Now, let's apply this to a recipe that uses mascarpone cheese. Let's say you have a recipe for a mascarpone cheesecake that uses an 8x8 pan, and you want to convert it to a 9x13 pan. The original recipe might look something like this:
- 250g mascarpone cheese
- 2 eggs
- 1/2 cup sugar
- 1/2 cup flour
- 1 teaspoon vanilla extract
To convert this recipe to a 9x13 pan, you would simply double the quantity of each ingredient:
- 500g mascarpone cheese
- 4 eggs
- 1 cup sugar
- 1 cup flour
- 2 teaspoons vanilla extract
With these adjusted quantities, you should have enough batter to fill your 9x13 pan, and your cheesecake should turn out just as delicious as the original recipe!
Remember, when it comes to eggs, it's best to weigh them to get an accurate measurement when doubling the recipe. Beat the eggs and then weigh out the required amount.
Happy baking!
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The baking time and temperature will remain the same
Baking is a precise art, and while some recipes are forgiving, others are more sensitive to changes in temperature and time. When adapting a recipe to fit a different pan, it is important to keep the baking time and temperature the same as the original recipe to ensure the best results.
For example, if you are baking a cake, the original recipe may call for a 9-inch round pan and a baking time of 30 minutes at 350 degrees Fahrenheit. If you decide to use an 8-inch square pan instead, you should still bake the cake for 30 minutes at 350 degrees Fahrenheit. Changing the baking time or temperature could result in an under- or over-baked cake.
The same principle applies to other baked goods, such as brownies, cookies, and muffins. It is important to follow the original recipe's instructions for time and temperature, even if you are using a different pan.
However, it is worth noting that different pans may have slightly different heat conduction properties, which can affect the final product. For example, a glass pan may bake goods more slowly than a metal pan. Therefore, it is always a good idea to keep an eye on your baked goods towards the end of the baking time and make adjustments as needed.
Additionally, when substituting a different pan, be mindful of the pan's volume and depth. The batter should fill the pan to a similar depth as the original recipe to ensure even baking. If the pan is too small and the batter fills it to a greater depth, the baking time may need to be increased. Conversely, if the pan is too large and the batter fills it to a shallower depth, the baking time may need to be decreased.
In summary, while adapting a recipe to fit a 9x13 pan, it is crucial to maintain the same baking time and temperature as the original recipe. Adjustments to the volume of batter and pan depth may be necessary, but the time and temperature should remain constant to achieve the desired results.
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If halving ingredients is difficult, it's okay to round up or down
If you're halving a recipe, it's okay to round up or down if you're finding it difficult to cut the ingredients in half. This is especially true if you're halving a recipe with odd numbers, such as three eggs. In this case, you could simply use two eggs, or one and a half, depending on the recipe.
The same goes for other ingredients. If you're halving a recipe that calls for 3/4 cup of milk, you could simply use 6 tablespoons, or 1/3 cup. It's also a good idea to do the math first and rewrite the ingredients list with halved measurements to avoid mistakes while cooking.
If you're halving a recipe that calls for a 9x13 pan, you'll need to use a smaller pan to avoid ending up with a thin layer. An 8x8 pan or a 9-inch round pan would be a good substitute, as they have a similar capacity to a 9x13 pan.
Remember that when halving a recipe, it's important to keep the cooking temperatures the same. However, you may need to reduce the cooking time slightly, especially if you're baking a cake or quick bread. Start checking for doneness about 20% earlier than the original recipe suggests.
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Frequently asked questions
The amount of mascarpone you need depends on the recipe you are using. However, a 9x13 pan typically holds 14-16 cups of batter.
To convert a recipe from an 8x8 pan to a 9x13 pan, simply double the ingredients.
To convert a recipe from a 9x13 pan to an 8x8 pan, simply halve the ingredients.
A 10x15 jelly roll pan holds 10 cups of batter, which is the same as a 9x13 pan. Therefore, no conversion is necessary.