Volume of 9-inch pie dishes:

8 inch by 1 1/2 inch pie pan = 4 cups

9 inch by 1 inch pie pan = 3 cups  * foil pie pan

9 inch by 1 1/4 inch pie pan = 4 cups

9 inch by 1 1/2 inch pie pan = 4 cups * pyrex

9 inch by 1 1/2 inch pie pan =  5 cups

9 inch by 1 1/2 inch pie pan =  6 cups * square side

9 inch by 2 inch pie pan = 6 cups * fluted ceramic

9 inch by 2 inch pie pan = 7 cups

9 inch by 2 inch pie pan = 8 cups * deep dish square side

9 x 1/2 inch round pie pan = 5 cups

9 1/2 x 2 inch round pie pan = 7 cups * glass deep dish

10 inch x 1.5 inch round pie pan = 6 – 6 1/2 cups

10 inch x 2 inch round pie pan = 11 cups * square side

references

https://recipeland.com/how-to/baking-pan-dish-volume-guide-332

https://www.oregonlive.com/foodday/index.ssf/2010/11/make_sure_pie_dish_is_deep_eno.html

https://www.cooksinfo.com/baking-pans-by-volume

https://www.kingarthurflour.com/guides/pie-baking/

Area of square/rectangle pans:

  • 6 x 6 = 36 square inches
  • 7 x 7 = 49 square inches
  • 8 x 8 = 64 square inches
  • 9 x 9 = 81 square inches
  • 9 x 13 = 117 square inches
  • 12 x 16 (half-sheet pan) = 192 square inches

Area of round pans:

  • 5 inch = 20 square inches
  • 6 inch = 29 square inches
  • 7 inch = 39 square inches
  • 8 inch = 50 square inches
  • 9 inch = 64 square inches
  • 10 inch = 79 square inches
  • 12 inch = 113 square inches

cup = in³ * 0.069264 = in³ / 14.45

1 cup = 14.5 in³ 2 cup = 29 in³ 3 cup = 43.5 in³ 4 cup = 58 in³

ref https://food52.com/blog/13239-how-to-make-your-baking-recipe-fit-your-pan-size

Interesting list by volume

3-cup Baking Dish or Pan:

  • 8″ x 1-1/4 round pan

4-cup Baking Dish or Pan:

  • 8″ x 1-1/2″ round layer cake pan
  • 8″ x 4″ x 2-1/2″ loaf pan
  • 9″ x 1-1/2″ round pie pan
  • 11″ x 1″ round tart pan

6-cup Baking dish or Pan:

  • 1 (8″) round cake pan
  • 7-1/2″ x 3″ bundt tube pan
  • 8″ x 8″ x 2″ square pan
  • 8 1/2″ x 4-1/2″ x 2-1/2″ loaf pan
  • 9″ x 1-1/2″ round layer cake pan
  • 9″ x 2″ round pie plate (deep dish)
  • 9″ x 9″ x 1-1/2″ rectangular pan
  • 10″ x 1-1/2″ round pie plate
  • 11″ x 7″ x 2″ rectangular pan

7-cup Baking dish or Pan:

  • 8″ x 2″ round cake pan
  • 9″ x 9″ x 2″ rectangular pan

8-cup Baking dish or Pan:

  • 8″ x 8″ x 2″ square pan
  • 9″ x 2″ round cake pan
  • 9″ x 5″ x 3″ loaf pan
  • 9″ x 9″ x 1-1/2″ square pan
  • 9-1/4″ x 2-3/4″ ring mold
  • 9-1/2″ x 3-1/4″ brioche pan
  • 11″ x 7″ x 1-1/2″ baking pan

9-cup Baking Dish or Pan:

  • 8″ x 3″ bundt pan
  • 9″ x 3″ tube pan

10-cup Baking Dish or Pan:

  • 8″ x 2-1/2″ springform pan
  • 9″ x 9″ x 2″ square pan
  • 11-3/4″ x 7-1/2″ x 1 3/4″ baking pan
  • 13″ x 9″ x 2″ rectangular pan
  • 15-1/2″ x 10-1/2″ x 1″ jelly-roll pan

11-cup Baking Dish or Pan:

  • 9″ x 3″ springform pan
  • 10″ x 2″ round cake pan

12-cup Baking Dish or Pan:

  • 2 (9″) round cake pans
  • 9″ x 3″ angel-cake pan or tube pan
  • 10″ x 2-1/2″ springform pan
  • 10″ x 3-1/2″ bundt pan
  • 13″ x 9″ x 2″ metal baking pan
  • 14″ x 10-1/2″ x 2-1/2″ roasting pan

15-cup Baking dish or Pan:

  • 13″ x 9″ x 2″ rectangular pan

16-cup Baking dish or Pan:

  • 9″ x 3-1/2″ springform pan
  • 10″ x 4″ fancy tube mold

18-cup Baking dish or Pan:

  • 10″ x 4″ angel-cake or tube pan

ref https://startcooking.com/pan-size-and-volume

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