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Baking Pan Conversion Chart
Scale factors for a 9×13, an 8×8, a 9×9, and 8-, 9-, and 10-inch rounds, from the cake pan converter's floor areas.
A recipe written for a 9×13 is multiplied by 0.54 for a 9-inch round, by 0.55 for an 8×8 square, and by 0.69 for a 9×9 square. Going the other way, an 8×8 recipe becomes a 9×13 by multiplying by 1.83. The factor is new floor area ÷ original floor area, shown to two decimals the way the converter prints it.
Use the Cake Pan Size Converter when the pan in your hand is not on this chart. Measure the inside of the pan. The chart uses the inside dimensions below, not the outside rim.
How the factor is calculated
Batter at a similar depth needs a similar volume, and volume at a fixed depth tracks the floor. The converter's area function is:
- Round: π × (diameter ÷ 2)². The field is the diameter, the distance across, not the radius.
- Square: side × side.
- Rectangle: length × width. A 9×13 is 9 × 13 = 117.
Scale factor = new area ÷ original area. Multiply every ingredient by that factor. A factor of 1.83 means you need 83 percent more of each ingredient to keep the depth about the same. A factor of 0.55 means you keep 55 percent. Areas in the table are the converter's two-decimal display. The factors are computed from the unrounded areas, then rounded to two decimals, which is what the result panel shows.
The converter has no depth field. The factor keeps depth similar only if you fill the new pan to about the same fraction of its height as the original recipe filled its pan. It does not change the oven temperature and it does not multiply the minutes.
Floor area of the common pans
| Pan | How the area is built | Square inches |
|---|---|---|
| 8×8 square | 8 × 8 | 64 |
| 9×9 square | 9 × 9 | 81 |
| 8-inch round | π × 4² | 50.27 |
| 9-inch round | π × 4.5² | 63.62 |
| 10-inch round | π × 5² | 78.54 |
| 9×13 rectangle | 9 × 13 | 117 |
An 8-inch round and an 8×8 square do not match. The square is 64. The round is about 50.27, because the corners are missing. A 9-inch round (about 63.62) is the round that sits next to an 8×8, not the 8-inch round. A 9-inch square is 81, larger than a 9-inch round by the corners.
Multiply by this factor
Read across from the pan the recipe was written for. The number is what you multiply the ingredient list by to fill the pan in that column to a similar depth. The diagonal is 1 because the pan did not change.
| From \ to | 8×8 | 9×9 | 8" round | 9" round | 10" round | 9×13 |
|---|---|---|---|---|---|---|
| 8×8 | 1 | 1.27 | 0.79 | 0.99 | 1.23 | 1.83 |
| 9×9 | 0.79 | 1 | 0.62 | 0.79 | 0.97 | 1.44 |
| 8" round | 1.27 | 1.61 | 1 | 1.27 | 1.56 | 2.33 |
| 9" round | 1.01 | 1.27 | 0.79 | 1 | 1.23 | 1.84 |
| 10" round | 0.81 | 1.03 | 0.64 | 0.81 | 1 | 1.49 |
| 9×13 | 0.55 | 0.69 | 0.43 | 0.54 | 0.67 | 1 |
The pairs people actually swap
9×13 to a round pan
The sheet is 117 square inches. A 9-inch round is π × 4.5², about 63.62. Factor = 63.62 ÷ 117 in the unrounded arithmetic, displayed as 0.54. You need a bit over half the recipe for one 9-inch round at a similar depth. An 8-inch round is 0.43 of the 9×13. A 10-inch round is 0.67. One layer's worth of a 9-inch round recipe does not fill the sheet: the reverse factor, 9-inch round to 9×13, is 1.84, the converter's own example.
9×13 to 8×8, and 8×8 to 9×13
64 ÷ 117 displays as 0.55. An 8×8 takes a little over half of a 9×13 recipe. The other direction is 117 ÷ 64 = 1.828125, which displays as 1.83. That is not a clean double. Doubling an 8×8 recipe and pouring it into a 9×13 makes a deeper cake than the original. Multiplying by 1.83 is the area match.
Two 8×8 pans and one 9×13
Two 8×8 squares are 128 square inches together, against 117 for the sheet. They are close but not equal: the two squares hold about 9% more at the same depth. From two 8×8 pans to one 9×13 the factor displays as 0.91, and from a 9×13 into two 8×8 pans it displays as 1.09. The pan size converter answers this pair directly, along with its other 8×8 swaps.
9×13 to 9×9, and 9×9 to 9×13
81 ÷ 117 displays as 0.69. The square keeps about 69 percent of the sheet recipe. From the 9×9 back to the sheet, 117 ÷ 81 = 1.444…, which displays as 1.44.
8×8 and a 9-inch round
64 versus about 63.62. From the square to the 9-inch round the factor is 0.99. From the round to the square it is 1.01. The pans are close. The converter's 8-inch round versus 8-inch square example is the one that is not close: 64 ÷ 50.27 displays as 1.27 going from the round to the square, and about 0.79 going back.
Two 9-inch rounds and one 9×13
Two 9-inch rounds are about 127.23 square inches together. The sheet is 117. The factor from the two rounds to the 9×13 is 0.92, which is the comparison already worked on the converter page. A two-layer recipe is in the same neighborhood as one sheet. The sheet will be a little fuller if you pour the whole two-layer recipe in. Multiply by 0.92 if you want the depths nearer each other.
8-inch round to 9-inch round
The areas are π × 16 and π × 20.25. The π cancels, and (4.5 / 4)² = 1.265625, which displays as 1.27. A 9-inch round needs about 27 percent more batter than an 8-inch round for the same depth. A 9-inch round into a 10-inch round displays as 1.23.
Batter volume per inch, and cupcakes
The pan converter stops at square inches. Cups of batter also depend on how deep you fill, which is why the converter's own answer to "are square inches the same as cups?" is no. You can still turn a stated depth into a volume, and then into US cups, with factors the Volume Converter already publishes: 1 cubic inch is 16.387064 milliliters, and 1 US cup is 236.5882365 milliliters.
One inch of batter spread over the whole floor is the floor area, in cubic inches. Cups for that inch = square inches × 16.387064 ÷ 236.5882365. The cup figures below use the unrounded round areas, then round to two decimals. Multiply by the depth, in inches, that you actually intend to fill.
| Pan | Cubic inches per inch of fill | US cups per inch |
|---|---|---|
| 8×8 square | 64 | 4.43 |
| 9×9 square | 81 | 5.61 |
| 8-inch round | 50.27 | 3.48 |
| 9-inch round | 63.62 | 4.41 |
| 10-inch round | 78.54 | 5.44 |
| 9×13 | 117 | 8.10 |
A 9×13 filled 2 inches deep is twice the unrounded per-inch volume, which rounds to 16.21 US cups. An 8×8 filled 2 inches deep rounds to 8.87 US cups. Those are volumes at a depth you chose. They are not a number of cupcakes. If you measure how many cups one liner holds when you fill it the way you bake, divide the pan's batter cups by that measurement. This site does not store a liner size, so the chart stops at batter volume.
After the factor, rewrite the list
The factor is a single multiply. The Recipe Scaler applies a multiply to each line and keeps common fractions when it can. A factor of 1.25 is the same as original servings 4 and desired servings 5. A factor of 0.54 is not a serving count the scaler can see unless you enter two serving numbers in that ratio. For an awkward factor, multiply by hand or set the servings so the ratio matches, and read the scaler's fraction rules on the halving and doubling chart before you trust a snapped third.
Salt, spices, and chemical leaveners are the lines the converter tells you to scale a little more cautiously than the pure area ratio when the factor is large. A factor near 2, such as 8-inch round to 9×13 at 2.33, is the neighborhood where the converter says a recipe written for the pan is safer than a heroic multiply. Bake time is still a separate question. The Oven Temperature Converter changes degrees and gas marks. It does not know that the pan got wider.
Measure the interior. A 9 typed as a radius instead of a diameter makes the area one quarter of the real pan, and every factor that uses it collapses. Loaf pans are rectangles: type the inside length and width. A bundt's center tube removes area a plain diameter does not, and the converter has no bundt preset.
FAQ
What do I multiply by to move a 9x13 recipe into a 9-inch round?
0.54. The 9 by 13 floor is 117 square inches. A 9-inch round is about 63.62 square inches. Divided and shown to two decimals the way the converter does, the factor is 0.54.
Is an 8x8 the same as a 9-inch round?
Almost, for area. The 8 by 8 is 64 square inches and the 9-inch round is about 63.62. The factor from the square to the round is 0.99. The chart still shows 0.99 if you want the depths to match.
Does the chart change the bake time?
No. The factor scales ingredients so the depth of batter stays similar. Time still depends on the pan, the oven, and the depth. The pan converter does not multiply minutes.
How many cupcakes does an 8x8 make?
This chart does not count cupcakes. The pan converter has no depth and no muffin size. One inch of fill over an 8 by 8 is 64 cubic inches, about 4.43 US cups using the volume converter's milliliter factors. Divide those cups by the fill of one liner if you measured the liner. The liner volume is not stored on this site.
Why is a 9-inch round not a 9-inch square?
The square is 9 times 9, which is 81 square inches. The round is pi times 4.5 squared, about 63.62. The shared 9 is a width, not an area. The factor from the round to the square is 1.27.
Key takeaways
- 9×13 to 9-inch round is 0.54. 9×13 to 8×8 is 0.55. 9×13 to 9×9 is 0.69.
- 8×8 to 9×13 is 1.83. 9-inch round to 9×13 is 1.84.
- Two 8×8 pans (128 sq in) versus one 9×13 (117): 0.91 from the two squares to the sheet, 1.09 the other way.
- An 8×8 (64) and a 9-inch round (about 63.62) are the close pair. An 8-inch round is about 50.27.
- The factor matches depth. It does not set the clock.
- Cupcakes need a liner volume this site does not store. One inch over an 8×8 is about 4.43 US cups of batter.
Related
- Cake Pan Size Converter for a pan that is not in the chart
- Recipe halving, doubling, and thirding chart
- Recipe Scaler
- Oven Temperature Converter
- Cooking measurement myths