How-to GuidePublished 7 min read

Cake Pan Size Conversion: How Much More for 15 cm to 18 cm? A Chart for Round Pans

You only have a recipe for a 15 cm pan, but the pan you own is 18 cm. If you think "it's 3 cm wider, so add 20%," you'll run short of batter and end up with a thin cake, because what a round pan needs depends on its area, not its diameter. This article explains how to work out the scaling factor when changing a round pan's size, with a chart, what to do with fractions of an egg, and how to adjust the baking time.

Round pans scale by the square of the diameter ratio

When you change pans, what you want to keep is the baked height (the thickness of the batter). For the same thickness, the batter you need is proportional to the pan's base area. A round pan's base area is radius × radius × 3.14, so when the diameter grows 1.2 times, the area grows 1.2 × 1.2 = 1.44 times.

DiameterCake size (Japan)Base areaRatio to 15 cm
12 cmNo. 4About 113 cm²×0.64
15 cmNo. 5About 177 cm²×1
18 cmNo. 6About 254 cm²×1.44
21 cmNo. 7About 346 cm²×1.96
24 cmNo. 8About 452 cm²×2.56

So 15 cm to 18 cm is ×1.44, not "3 cm more, so ×1.2," and 15 cm to 21 cm is ×1.96, almost double. If you scale by feel from the diameter and bake 20% more batter in an 18 cm pan, the thickness only reaches about 83% of the original. In a recipe that slices a sponge into two layers, that difference directly turns into a cake that's too thin to cut.

Scaling chart for round pans (12–24 cm)

Rows are the recipe's pan and columns are the pan you want to use. For round pans of the same height, multiplying every ingredient by this factor gives the same thickness.

Recipe \ Your pan12 cm15 cm18 cm21 cm24 cm
12 cm11.562.253.064
15 cm0.6411.441.962.56
18 cm0.440.6911.361.78
21 cm0.330.510.7311.31
24 cm0.250.390.560.771
  • The three most common combinations are 15→18 cm at ×1.44, 18→15 cm at ×0.69 and 18→21 cm at ×1.36.
  • 18 cm to 12 cm is ×0.44, a little under half. 15 cm to 12 cm is ×0.64, almost two-thirds.
  • Above ×2.5, the batter often won't fit your hand mixer's bowl, so making it in two batches is safer.

The relationship between cake size numbers and servings is covered in Cake Size Numbers and Servings, along with conversions to square pans.

Converting a sponge recipe

Here, a 15 cm whole-egg sponge (2 eggs, 60 g granulated sugar, 60 g cake flour, 20 g butter, 1 tbsp milk) is converted to 12 cm, 18 cm and 21 cm. Paste the ingredients into the Cake Pan Size Converter to rewrite them all at once, in the same form as this table.

Ingredient15 cm (original)12 cm (×0.64)18 cm (×1.44)21 cm (×1.96)
Eggs21.3 (about 64 g)2.9 (about 144 g)3.9 (about 196 g)
Granulated sugar60 g38 g86 g118 g
Cake flour60 g38 g86 g118 g
Butter20 g13 g29 g39 g
Milk1 tbsp2 tsp1 tbsp + 1 1/4 tsp2 tbsp

Taking 2 eggs at 15 cm as the base, a sponge needs about 2.9 eggs at 18 cm, about 3.9 at 21 cm and about 5.1 at 24 cm. The figures often seen in recipes, 3 eggs for 18 cm and 4 for 21 cm, closely match this calculation.

When you end up with something like 2.9 eggs

Applying a factor usually leaves a fraction of an egg. Since eggs vary in size, weighing beaten egg is more reliable than rounding the count. A medium egg is about 50 g without its shell (about 20 g yolk and 30 g white), so for 2.9 eggs, use about 145 g of beaten egg.

  1. 1

    Crack extra eggs and beat them

    Crack one more egg than you need, beat well, then weigh into a bowl.

  2. 2

    Match the grams

    Use about 145 g for 2.9 eggs and about 65 g for 1.3 eggs. Leftover beaten egg can go into an omelet or glaze.

  3. 3

    If you round up, adjust the rest too

    For a sponge, where whipping matters, you can round up to 3 eggs and bring sugar and flour to 3 ÷ 2 = ×1.5 (90 g). You get a little more batter, but the balance of the recipe holds.

Baking time and temperature when you change pans

When you convert between round pans at the same thickness, the batter's depth doesn't change, but the bigger the pan, the longer heat takes to reach the center.

Scaling factorTemperatureBaking time
×1.15 or more (larger pan)Same, or 10 °C lower5–15 min longer
×0.87–1.15SameAbout the same
×0.87 or less (smaller pan)Same5–10 min shorter; check early
  • To test for doneness, insert a bamboo skewer in the center and see whether it comes out clean.
  • If the top browns too soon, cover with aluminum foil and keep baking.
  • Ovens vary a lot by model, so the first time, take a look 5 minutes before the recipe's time.

Pans of different heights, and moving to other shapes

The chart gives factors for round pans of the same height. If you bake a recipe for a 6 cm-high pan in an 8 cm-deep pan as it is, the same factor works; you just get extra room at the top. If you want a taller cake to suit the deeper pan, convert by the ratio of volume rather than base area.

FAQ

How do I scale a 15 cm recipe for an 18 cm pan?
Multiply by 1.44. A round pan's base area changes with the square of the diameter ratio, so (18 ÷ 15)² = 1.44. A 2-egg recipe needs about 2.9 eggs (about 144 g of beaten egg).
What are the amounts when making an 18 cm recipe in a 15 cm pan?
About ×0.69. A sponge with 3 eggs, 90 g sugar and 90 g cake flour becomes 2.1 eggs (about 104 g), 63 g sugar and 63 g cake flour.
How many eggs does an 18 cm sponge take?
If the 15 cm version uses 2 eggs, 18 cm takes about 2.9, so about 3 eggs. 21 cm takes about 4, and 24 cm about 5.
If the pan's diameter doubles, do the ingredients double too?
No, you need 4 times as much. Area is proportional to the square of the diameter, so 12 cm to 24 cm is (24 ÷ 12)² = ×4. Doubling gives a cake half as thick.
How much longer should I bake in a bigger pan?
Keep the temperature the same or 10 °C lower, and bake 5–15 minutes longer. To finish, insert a bamboo skewer in the center; it's done when no batter sticks to it.

Tools in this article

Related articles

How It Works6 min read

Japanese Cake Size Numbers: How Many cm and Servings Are No. 5 and No. 6?

When you order a birthday cake in Japan or choose a pan for a homemade decorated cake, you'll always run into size numbers such as "No. 5" and "No. 6" (written 5-go and 6-go). The number indicates the diameter, with No. 1 equal to about 3 cm. This article gives a chart of sizes, centimeters and servings, tips for choosing a size by headcount, ingredient factors when changing size, and how to compare with square cakes.

Read article →
How-to Guide7 min read

Loaf Pan Sizes and Conversions: Amounts for Round and Muffin Pans

Pound cake recipes are often written for an 18 cm loaf pan, but your pan may be 21 cm or a narrow slim type, or you may want to bake small portions in a muffin pan. The trick with loaf pans is to convert by how much batter fits (volume), not by base area. This article covers common loaf pan sizes and volumes, factors between pans, and amounts and baking times when moving to round, muffin and square pans.

Read article →
How-to Guide6 min read

Chiffon Pan Sizes and Amounts: Eggs and Baking Times for 17, 20 and 23 cm

Chiffon cake recipes are usually written for a 17 cm pan, but you may want to bake bigger in a 20 or 23 cm pan, or try a small batch in a 14 cm pan. A chiffon pan gets taller as its diameter grows, so its scaling factors are bigger than those for round pans. This article covers each size's volume and factor, the number of eggs, baking times, and what to watch for when baking in other pans.

Read article →