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Baking Pan Conversion Calculator (Scale a Recipe to a Different Pan)

The multiplier for a recipe when you change pan size, from the two pans' areas, with a depth adjustment.

Inputs

Recipe multiplier
1.2650

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What each Baking Pan Conversion input means

Original width
The width of the pan the recipe was written for, in cm or inches, measured inside the rim.
Original length
Its length. For a square pan, the same as the width.
New width
The width of the pan you have.
New length
Its length.
Depth factor
Leave at 1 to fill the new pan to the same depth. Use 1.5 for a pan you want 50% deeper, or 0.75 for a thinner bake.
Units
Metric (cm) or US units (inches). Switching converts the sizes already entered.

Baking Pan Conversion formula

multiplier = (new width × new length) ÷ (original width × original length) × depth factor · round pan area = π × (diameter ÷ 2)²

k=w2 l2w1 l1×fdepthk = \frac{w_2 \, l_2}{w_1 \, l_1} \times f_{\text{depth}}

A cake batter fills a pan to a depth, so the amount you need is proportional to the pan's area — a pan with a third more area needs a third more batter to bake the same height. Divide the new pan's area by the original's and multiply every ingredient by the result. If you also want the cake deeper or shallower, multiply by that too: 1.2 for a pan 20% deeper. Baking time changes with depth, not with area: the same depth in a bigger pan bakes in about the same time, a deeper cake takes longer and may want a slightly lower oven. For round pans, use π × (diameter ÷ 2)² as the area, or the equivalent square side — a 20 cm round is about 314 cm², close to an 18 cm square.

Baking Pan Conversion worked example

A recipe for a 20 × 30 cm tin (600 cm²) moved to 23 × 33 cm (759 cm²): 759 ÷ 600 = 1.265, so every ingredient is multiplied by about 1.27 — 200 g of flour becomes 253 g. Going the other way, from 23 × 33 to 20 × 30, the multiplier is 0.79. In inches, an 8 × 12 to a 9 × 13 is 117 ÷ 96 = 1.22.

More Baking Pan Conversion examples

A brownie recipe for an 8 × 8 inch pan moved to a 9 × 13: 117 ÷ 64 = 1.8281, so the recipe nearly doubles — 200 g of chocolate becomes 366 g. Making exactly double would give slightly thicker brownies.

Where the Baking Pan Conversion calculator can give the wrong answer

  • Round pans: enter the equivalent square. Area = π(d ÷ 2)², so a 23 cm (9-inch) round is 415 cm², the same as a 20.4 cm square — or compare two rounds by (d₂ ÷ d₁)² directly.
  • Deep cakes need more than the area multiplier says if you want the same rise, and they take noticeably longer to bake; the depth factor handles the amount, not the time.
  • Muffin tins, loaf tins and bundt pans hold batter by volume; compare their capacities in millilitres instead of areas.
  • A recipe scaled by a large factor (2.5 or more) can behave differently — leavening and eggs sometimes want slight reductions.
  • The multiplier is unit-free: inches and centimetres give the same answer as long as both pans use the same unit.

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Baking Pan Conversion reference table

Areas of common pans
PanAreaMetric panArea (metric)
8 × 8 in square64 sq in20 × 20 cm400 cm²
9 × 9 in square81 sq in23 × 23 cm529 cm²
9 × 13 in117 sq in23 × 33 cm759 cm²
10 × 15 in150 sq in25 × 38 cm950 cm²
8 in round50.3 sq in20 cm round314 cm²
9 in round63.6 sq in23 cm round415 cm²
Source: Arithmetic: width × length, or π × (diameter ÷ 2)² for round pans

Baking Pan Conversion FAQ

Divide the new pan's area (width × length) by the original's and multiply every ingredient by the answer. A 9 × 13 inch pan has 117 in²; an 8 × 8 has 64, so going from the 8 × 8 recipe to the 9 × 13 multiplies by 1.83. Enter both pans and the page gives the factor.