Final answer:
The capacity of a half, 400 series hotel pan is approximately 6.1 liters or 6.3 quarts. The '400 series' likely refers to the steel grade, not the size, and the size can vary. To find the volume, use the formula for a rectangular prism and then convert cubic inches to quarts for liquid capacity.
Step-by-step explanation:
The capacity of a half, 400 series hotel pan is approximately 6.1 liters or 6.3 quarts. A hotel pan with these dimensions is typically used in commercial kitchens for holding, transporting, and serving food.
A full-size hotel pan is generally 2 inches deep, 12 inches wide, and 20 inches long. The term '400 series' doesn't refer to the size of the pan but potentially to the stainless steel grade, which is durable, corrosion-resistant, and typically used in food service. A half-size pan would be half the length of a full-size pan, around 10 inches long, keeping the other dimensions the same. For a standard 2-inch deep half-size pan, the capacity is about 6 quarts. However, the depth can vary, with deeper pans holding more.
To calculate the volume of the pan, one can use the formula for the volume of a rectangular prism (Volume = length × width × height). Assuming the standard dimensions for a 2-inch deep half-size pan: 10 inches × 12 inches × 2 inches, the volume in cubic inches would be 240 cubic inches. To convert to quarts, divide by 57.75 (the number of cubic inches in a quart), resulting in a bit over 4 quarts. But since the '400 series' might suggest a different depth or variation from the standard, it's essential to confirm the exact dimensions for an accurate capacity.