Kitchen Numbers · Chapter 9

Pan Size Swap

Same depth means scaling by area. A rectangle is length × width; a round pan is π × radius × radius. US pans are measured inside edge to inside edge across the top.

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Opens on Chapter 9’s example: A brownie recipe for an 8 × 8 pan, and Tamsin’s 9 × 13.

Recipe’s pan
Your pan
Enter your numbers, then press Work it out.

How it works

Scale factor = your pan’s area ÷ the recipe’s pan area. A 9-in round is 3.14 × 4.5 × 4.5 ≈ 63.6 sq in, almost exactly an 8-in square (64). Batter depth = batter volume ÷ area, with a cup being 14.44 cubic inches (a US gallon is 231 cubic inches, a cup a sixteenth of that). Deeper batter takes longer to bake through; thinner bakes faster, so check early.

From the book, Chapter 9. An 8 × 8 is 64 sq in and a 9 × 13 117: a factor of 1.83. A doubled recipe sits 9% deeper in the 9 × 13. Six cups of batter is 0.74 in deep in the 9 × 13 and 1.35 in the 8 × 8. An 8-in round is 50.3 sq in, a 9-in 63.6: 27% more. Two 9-in rounds are 127.2 sq in, 9% deeper in one 9 × 13. A loaf pan 8.5 × 4.5 × 2.75 is at most 105.2 cubic inches, 7.3 cups; 6 cups of batter make 18 muffins at 1/3 cup each. Every chapter and its calculator →

Amounts can be typed as 3, 0.75, 3/4, 1 1/2 or 1½. They’re worked as exact fractions and written as a cook measures them: cups in quarters or thirds, then tablespoons, then teaspoons to the nearest eighth. Everything stays in your browser: no sign-up, nothing stored or sent.