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Baking Pan Size & Recipe Scaling Converter

Scale cake and baking recipes by 3D pan volume (with pan height) or 2D surface area, preview true-scale batter depth and overflow risk, apply non-linear baking time and egg rules, and split batches across multiple pans.

Pan dimensions & scaling mode

Supports Round (πr²h), Square (s²h), Rectangular, Bundt (0.75× tube), and Cupcakes (3.5 fl oz)

in
in
in
in
mins
°F

Recipe ingredients

One ingredient per line (supports grams, oz, cups, tbsp, tsp, fractions, and whole eggs)

How 3D Pan Volume, Batter Depth & Bake-Time Physics Work

3D Volume vs. 2D Area: Round pans use V = π · r² · h, square pans use V = s² · h, rectangular pans use V = W × L × h, Bundt pans apply a 0.75 hollow-chimney factor (V = 0.75 · π · r² · h), and standard cupcake wells hold 3.5 US fl oz (6.32 in³) each.

Batter Depth Prediction: Dividing scaled total volume by the new pan's cross-sectional area gives the new effective depth. When depth_new / depth_old > 1.35×, we flag a red risk of overflow; when < 0.60×, we flag a yellow too shallow, will overbake alert.

Thermal Diffusion Time Law: Heat penetrates cake batter by vertical conduction, so baking time scales roughly with the square root of the depth ratio: t_new = t_old × √(depth_new / depth_old).

Result & Batter Depth Prediction

Scaling by 3D pan volume (includes height)

Recipe scaling multiplier
1.19×
3D volume ratio: 1.19× · 2D area ratio: 0.79×
Predicted batter depth
3.00 in (1.50×)
>1.35× original (2.00 in) — risk of overflow
Adjusted bake time
43 mins
From 35 mins × √(1.50) at 350°F
Pan capacity (rim-full)
8.7 → 10.3 cups
70.5 fl oz → 83.6 fl oz

True-scale pan & batter cross-section (inline SVG)

Left: Original pan profile · Right: Target pan profile with proportional batter fill height

Original: 9in round × 2in deepDepth 2.00 in (2/3 fill = 1.33 in)Target: 8in round × 3in deepPredicted 3.00 in (1.50×) · risk of overflow

What does NOT scale (Anti-Failure Baking Rules Engine)

Why oven temperature, bake time, chemical leaveners, and eggs never scale linearly

a) Oven temperature stays constant (350°F / 177°C)
Never multiply oven temperature by the recipe scaling factor (1.19×). Keep the oven at 350°F (or reduce by 15–25°F to 330°F only when batter depth exceeds 1.25× so edges do not burn before the center reaches 200°F).
b) Bake time scales by square root of depth ratio: t_new = 35 × √(3.00 / 2.00) = 43 mins
Formula: t_new = t_old × √(depth_new / depth_old) = 35 min × √(1.50) = 42.9 mins. Start checking with a toothpick at 39 minutes and expect doneness around 43 minutes.
c) Baking powder & baking soda are non-linear (current scale: 1.19×)
Your multiplier (1.19×) is within the 0.7×–1.4× safe linear zone. Whenever scaling <0.7× or >1.4×, do not scale baking powder/soda linearly by volume — weigh in grams on a precision scale and run a small test bake.
d) Eggs in whole count + grams dual format (1 large egg ≈ 50 g — never "0.6 eggs")
For your scaled batch: 4 whole eggs + 37 g beaten (or ~5 whole = 250 g) — exact liquid weight 237 g (4 eggs + 37 g). To measure partial eggs accurately, whisk whole eggs in a bowl and weigh out the exact gram target on a kitchen scale.
IngredientOriginalScaled (grams)Scaled (cups / kitchen)
unsalted butter, softened225.00 g267 g1.17 cups
granulated sugar1.50 cups356 g1 3/4 cups
large eggs4.00237 g (4 eggs + 37 g)4 whole eggs + 37 g beaten (or ~5 whole = 250 g)
all-purpose flour2.25 cups320 g2 2/3 cups
baking powder2.50 tsp14 g3.0 tsp
fine sea salt0.50 tsp4 g0.6 tsp
whole milk0.75 cup213 g0.89 cups
vanilla extract2.00 tsp12 g2.4 tsp
Estimated total batter weight1,199 g1,422 g50.1 oz

Multi-pan split & printable recipe card

Prevent overflow by dividing deep batters across multiple pans or standard 3.5 fl oz cupcakes

ProMulti-pan split plan + scaled recipe card$9.99 once

Included in Pro. Unlock once, keep it on this device.

Built from user complaints

What people hate about the other tools

We read the reviews of the incumbents before writing this page. Every complaint below maps to a decision in the tool above.

  • Swapping pan sizes by surface area alone ignores pan depth, causing batter to overflow past the 2/3 fill line or bake unevenly.
    r/Baking & r/BakingNoobs (Reddit) · ignores pan height
    In this toolComputes both 2D area and 3D volume ratios with a visual batter fill-level gauge and >75% overflow warning.
  • Beginners mistakenly scale baking time and oven temperature proportionally when moving batter into a deeper or shallower pan.
    r/Baking (Reddit) · wrong bake temp/time
    In this toolBuilt-in rule card warns against proportional time scaling and suggests -25°F (-15°C) for deeper batters or glass pans.
  • 1.333 cups of flour and 0.41 tablespoons of baking soda — existing scalers output awkward decimals impossible to measure.
    gigacalculator.com / r/Baking (Reddit) · unusable decimals
    In this toolConverts awkward scaled decimals into exact kitchen spoon fractions (e.g., 1 tsp + 1/4 tsp) or precise gram weights.

One-line difference: 3D pan volume & area scaler with fill-level overflow alerts, bake temp/time adjustments, and instant gram conversion.

How this is paid for

Free forever, Pro when you need the paperwork

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Free no signup, no card

  • Round, square, loaf & tube pan 2D area and 3D volume conversion
  • Smart full-recipe text scaler with gram and spoon-fraction output
  • Non-linear baking temp, time, and leavening adjustment warnings

Pro $9.99 once

  • Multi-pan batch splitting with leftover cupcake yield calculator
  • Recipe ingredient cost & per-slice pricing calculator
  • Custom pan library in localStorage & watermark-free PDF recipe card

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