How to scale a recipe to a different pan
Compare the areas of the two pans and scale the recipe by the difference. The batter then sits as deep as the recipe intended, so it bakes much as the recipe describes.
Divide your pan's area by the recipe pan's area, and multiply the recipe by the result. 9-inch square to 9 × 13: × 1.44 8-inch round to 9-inch round: × 1.27
Scale to a new pan in three steps
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Measure both pans across the top, from inside edge to inside edge. Pans are often sold by their outside size.
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Find each area in the table below, or work it out: width × length, or 3.14 × half the width × half the width for a round pan.
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Divide your pan's area by the recipe's, round to the nearest quarter, and type it as the custom amount in the scaler.
Pan areas
| Pan | Area (sq in) |
|---|---|
| 6-inch round | 28.3 |
| 8-inch round | 50.3 |
| 9-inch round | 63.6 |
| 10-inch round | 78.5 |
| 8-inch square | 64 |
| 9-inch square | 81 |
| 11 × 7-inch | 77 |
| 9 × 13-inch | 117 |
| 8½ × 4½-inch loaf | 38.3 |
| 9 × 5-inch loaf | 45 |
An 8-inch square (64 sq in) and a 9-inch round (63.6 sq in) hold almost exactly the same, so a recipe for one bakes in the other without changes.
Multipliers for common swaps
“Exact” is the ratio of the areas. “Scale by” is the nearest quarter, so the scaled amounts are exact cups and spoons rather than rounded ones; the batter ends up a few percent deeper or shallower.
| Recipe's pan | Your pan | Exact | Scale by |
|---|---|---|---|
| 9-inch square | 9 × 13-inch | 1.44 | 1 ½× |
| 8-inch square | 9 × 13-inch | 1.83 | 1 ¾× |
| 8-inch square | 9-inch square | 1.27 | 1 ¼× |
| 9-inch square | 8-inch square | 0.79 | ¾× |
| 8-inch round | 9-inch round | 1.27 | 1 ¼× |
| 9-inch round | 8-inch round | 0.79 | ¾× |
| Two 9-inch rounds | 9 × 13-inch | 0.92 | As written |
| 9 × 13-inch | 9-inch square | 0.69 | ¾× |
| 9 × 13-inch | 8-inch square | 0.55 | ½× |
| 8½ × 4½-inch loaf | 9 × 5-inch loaf | 1.18 | 1 ¼× |
Example: brownies from a 9-inch square to a 9 × 13
The 9 × 13 is 1.44 times the area, so scale by 1 ½×:
| 9-inch square | 9 × 13-inch |
|---|---|
| 1/2 cup butter | ¾ cup butter |
| 1 cup sugar | 1 ½ cups sugar |
| 2 eggs | 3 eggs |
| 1 tsp vanilla extract | 1 ½ tsp vanilla extract |
| 1/3 cup cocoa powder | ½ cup cocoa powder |
| 1/2 cup all-purpose flour | ¾ cup all-purpose flour |
| 1/2 tsp salt | ¾ tsp salt |
Rounding 1.44 up to 1 ½× makes the batter about 4% deeper, so start checking at the recipe's time and allow a few minutes more.
Depth and baking time
Scaling by area keeps the batter's depth, and depth is what sets the baking time for cakes, bars and breads. If you put a whole recipe into a larger pan without scaling it, the batter is shallower and bakes faster; in a smaller pan it is deeper and takes longer. Either way, go by the recipe's sign of doneness rather than the clock.
Loaf, tube and Bundt pans are deep, so compare them by how much they hold: fill each with water, a cup at a time, and divide. Scaling a recipe down instead? The halving guide has the pans for a half batch.
Questions
How much bigger is a 9 × 13 than a 9 × 9 pan?
1.44 times the area: 117 square inches against 81. Scale a 9 × 9 recipe by 1 ½× to fill a 9 × 13.
Can I bake a 9 × 13 recipe in two 8-inch squares?
Yes. Two 8-inch squares are 128 square inches, close to the 9 × 13's 117, so the batter is just a little shallower. Check it a few minutes early.
Is a 9-inch round the same as an 8-inch square?
Nearly: 63.6 and 64 square inches. Swap them without changing the recipe.
Will a two-layer cake fit a 9 × 13?
Yes. Two 9-inch rounds are 127.2 square inches and a 9 × 13 is 117, so the batter is about 9% deeper. Bake it a little longer, checking from the recipe's time.
Sources
- America’s Test Kitchen, “No, You Can’t Always Just Double a Recipe” (2024) — changing the depth and area of batter changes the baking time
Amounts use US cups and spoons (1 cup = 16 tablespoons = 48 teaspoons). Checked against these sources on October 23, 2026.