Rectangular Hopper Volume Calculator: Determine Material Capacity

Calculate Volume of a Rectangular Hopper

Quickly calculate the internal volume of a rectangular hopper. Ideal for engineers, farmers, and industrial applications, this tool helps determine the capacity for storing grains, aggregates, or other bulk materials with ease and accuracy.

Formula:

The volume (V) of a rectangular hopper, which is essentially a frustum of a rectangular pyramid, is calculated using the following formula:

V = (h / 3) × (L1W1 + L2W2 + √(L1W1L2W2))

Where:

  • V = Total volume of the hopper (e.g., cubic meters, cubic feet)
  • h = Vertical height of the hopper
  • L1 = Length of the top opening (larger rectangle)
  • W1 = Width of the top opening (larger rectangle)
  • L2 = Length of the bottom opening (smaller rectangle)
  • W2 = Width of the bottom opening (smaller rectangle)

Ensure all dimensions are in the same unit for accurate results.

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