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 name | US dimensions | Approx. volume (cups) |
|---|---|---|
| Standard round (US) | 9 in × 2 in deep | 8.8 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
| Pan | Dimensions | Volume (cups) |
|---|---|---|
| Round | 8 in × 1.5 in | 4.7 |
| Round | 9 in × 2 in | 8.8 |
| Square | 8 in × 2 in | 8.9 |
| Square | 9 in × 2 in | 11.3 |
| Rectangular | 9×13 in × 2 in | 16.2 |
| Rectangular | 7×11 in × 2 in | 10.9 |
| Bundt | 10 in × 3 in | ≈ 12 cups (varies by shape) |