Hi everyone! I'd love to use this recipe (
https://www.bbc.co.uk/food/recipes/heart_cake_47249), but I have 2 6-inch heart tins and would like to use these instead of the two 8-inch round tins in this recipe. How do I scale the recipe please?
To accurately scale a recipe for a round pan to an odd-shaped pan like a heart, you would need to use some advanced math.
So to avoid complicated math, it best to approximate the amount of batter needed.
Method 1: Approximate with a round pan
You can treat the heart pan like a 6” round pan.
Step 1: Find the area of each pan
- Area is roughly the size of the batter surface.
- Use this simple rule: area = radius × radius × 3.14 (pi)
- The radius is half the pan diameter.
6” pan area: 28.26
- Radius = 6 ÷ 2 = 3
- 3 × 3 × 3.14 ≈ 28.26
8” pan area: 50.24
- Radius = 8 ÷ 2 = 4
- 4 × 4 × 3.14 ≈ 50.24
Step 2: Find the scaling factor
- Divide the smaller pan area by the larger pan area:
28.26 ÷ 50.24 ≈ 0.56
Step 3: Scale your ingredients
Multiply the weight of each ingredient by 0.56, the scaling factor
- Example: 330 g flour × 0.56 ≈ 186 g flour
Do the same for sugar, butter, eggs, milk, etc.
———————-
Method 2: Scaling Batch Size with Baker’s Percentages
Baker’s percentages are just a way to compare ingredients to flour. Flour is always 100%, and the other ingredients are a percentage of it.
Example from this recipe:
To calculate the baker’s percentages, just divide weight of each ingredient into the weight of the flour
Example
- Sugar = 320 g = 97% because 320 ÷ 330 ≈ 0.97
Say you want to make more layers or a bigger cake:
- Add up the total batter you need.
- Divide by the total batter/dough required by the total baker’s percentages to get a “multiplier.”
- Multiply each ingredient’s percentage by that number.
Example: the original recipe makes 1214 g batter, which is 607 g batter per 8” cake.
- Say you want three 8” layers → 1821 g batter is required (1214 + 607 = 1821)
- Total baker’s % = 375.26
- Multiplier = 1821 ÷ 375.26 ≈ 4.85
- Multiply each ingredient’s baker’s percentage by 4.85.
- Flour = 100 × 4.85 = 485 g
- Sugar = 97 × 4.85 = 471 g
- Baking powder = 4.24 x 4.8 = 20.35
- Repeat with the remaining ingredients
So to make three layers, you would use 485 g flour, 471 g sugar, 20 g baking powder, etc.
This keeps the recipe proportions exactly the same, no matter how big or small your cake.
You can use this method to scale batch size up/down (e.g., mix batter for 6 cakes or 20 cakes or mix dough for 2 dozen cookies or 8 dozen cookies); increase/decrease individual product size (e.g., mix dough for 5 dozen 70 g cookies, or 1 dozen 35 g cookies; mix dough for six 750 g loaves or two 500 g loaves.) This method works with everything, breads, cake, cookies, icings, pastry cream…
The total bakers percentages = 367.26%
The total batter weight = 1214.42
I calculated the baker’s percentages for
your recipe here.
330g plain flour, sifted 100%
320g caster sugar 97%
14 g baking powder 4.24%
175g unsalted butter 53%
175 mL (3) eggs 53%
190 mL whole milk 57.6%
8 g (1½ tsp) vanilla extract 2.42%
pinch salt