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Baking Pan Size Converter

Swapping baking pans mid-recipe is fine as long as the volumes match. A 9-inch round pan (2 inches deep) holds about 7.07 cups, while a 9×13-inch rectangular pan holds about 14 cups. When the volumes are similar, bake time stays close; when they differ, bake time shifts with the batter depth.

The formula

Round pan:       volume (cu in) = π × (diameter/2)² × depth
Square pan:      volume (cu in) = side² × depth
Rectangular pan: volume (cu in) = width × length × depth

mL = cu in × 16.3871   (NIST: 1 cu in = 16.3871 mL)
US cups = mL ÷ 236.588

Practical examples

Example 1: Standard 9-inch round cake pan, 2 inches deep π × 4.5² × 2 = π × 20.25 × 2 ≈ 127.2 cu in → 2,085 mL → 8.82 cups

Example 2: 8-inch square pan, 2 inches deep 8 × 8 × 2 = 128 cu in × 16.387 = 2,097 mL → 8.87 cups — nearly identical to the 9-inch round

Example 3: 9×13-inch rectangular pan, 2 inches deep 9 × 13 × 2 = 234 cu in × 16.387 = 3,835 mL → 16.2 cups — about twice a 9-inch round

Common mistakes

Forgetting that depth matters as much as diameter. A 9-inch pan that is 3 inches deep holds 50% more batter than one that is 2 inches deep. Overfilling beyond ⅔ full causes overflow; underfilling produces thin results.

Treating round vs square pans as equivalent by diameter. A 9-inch square pan has a much larger area than a 9-inch round (81 vs 63.6 sq in). The square holds about 27% more volume.

Ignoring material and color. Darker pans absorb more heat and brown the exterior faster — lower your oven temperature by about 25°F (15°C) when switching from light to dark. Volume math handles quantity; temperature adjustment handles color.

International and regional variations

Pan nameUS dimensionsApprox. volume (cups)
Standard round (US)9 in × 2 in deep8.8 cups
Standard round (UK/EU)23 cm × 5 cm deep≈ 9.1 cups (slightly larger)
Sheet pan (US "half sheet")18 × 13 × 1 in≈ 13.6 cups
Springform pan (common)9 in × 2.75 in deep≈ 12 cups
Loaf pan (US standard)8.5 × 4.5 × 2.75 in≈ 6 cups

Quick reference

PanDimensionsVolume (cups)
Round8 in × 1.5 in4.7
Round9 in × 2 in8.8
Square8 in × 2 in8.9
Square9 in × 2 in11.3
Rectangular9×13 in × 2 in16.2
Rectangular7×11 in × 2 in10.9
Bundt10 in × 3 in≈ 12 cups (varies by shape)
Volume

Round: volume = π × r² × depth · 1 cup = 236.588 mL (NIST)

Frequently Asked Questions

How many cups does a 9-inch round pan hold?
A 9-inch round pan that is 2 inches deep holds approximately 7.07 cups (1,672 mL). A standard cake recipe using 3 cups of batter fills it about halfway.
Can I use a 9×13 pan instead of two 9-inch rounds?
A 9×13×2 pan holds about 14 cups, while two 9-inch round pans hold about 14 cups combined — they are nearly equivalent in volume.
How do I substitute a square pan for a round pan?
An 8-inch square pan (128 sq in) holds slightly more than a 9-inch round pan (63.6 sq in × depth). Calculate the volume using this tool and adjust baking time accordingly.
Does pan shape affect baking time?
Yes — shallower pans bake faster because more surface is exposed to heat. When switching pan sizes, check for doneness 5–10 minutes earlier if your new pan is shallower.
What is the formula to calculate pan volume?
Round: π × r² × depth. Square or rectangular: width × length × depth. The result in cubic inches is multiplied by 16.387 to convert to milliliters, then divided by 236.588 for US cups.

Sources

  1. NIST SP 811 — Guide for the Use of the International System of Units[archived 2026-05-01]

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