Final answer:
The capacity of a sixth-size 400 hotel pan, typically 4 inches deep, is approximately 1.6 quarts or 1.5 liters, based on standard dimensions and the volume formula for a rectangular prism.
Step-by-step explanation:
The capacity of a sixth-size 400 hotel pan is typically measured in quarts or liters. A sixth-size hotel pan, also known as a 1/6 pan, generally follows the Gastronorm sizing system used in commercial kitchens.
A full-size hotel pan (1/1) is 12x20 inches, and since a sixth-size pan is one-sixth of this, the dimensions are approximately 6x7 inches. The depth of the pan can vary, but a 4-inch deep 1/6 pan typically holds about 1.6 quarts or 1.5 liters.
To calculate the capacity of the pan, one can use the formula for the volume of a rectangular prism:
Volume = Length × Width × Depth.
If a hotel pan is 4 inches deep, then the calculation would be Volume = 6 inches × 7 inches × 4 inches, which equates to 168 cubic inches.
Since there are 57.75 cubic inches in a quart, the volume in quarts would be approximately 168 / 57.75, resulting in about 2.9 quarts.