Mattress, Bedding & Foam Product Assembly worked example

Packaging Cube with carton length of 22 in: a worked example in mattress, bedding & foam product assembly

Here is what the math looks like when conditions slip. We hold every other input steady and drop carton length to 22 in, then walk the calculation through step by step. Calculate the freight cube (cubic feet) of packaged mattresses for shipping container loading, truck utilization, and freight cost estimation.

The inputs for this scenario

  • Carton length: 22 in (the input this scenario stresses; the baseline uses 44)
  • Carton width: 19 in (held at the documented default)
  • Carton height: 19 in (held at the documented default)

Working through the calculation

  • The calculation starts from the formula this tool documents: Carton volume (cu in) = length × width × height.
  • Effective throughput works out to 0.22 cu ft at these inputs, and this is the headline figure for the scenario.
  • Raw throughput works out to 1.16 cu ft at these inputs.
  • Efficiency works out to 19 % at these inputs.
  • Runtime works out to 19 hr at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where carton length sits at 44 in and the headline result is 0.44 cu ft, this scenario comes in 50% below the baseline at 0.22 cu ft.
  • The practical read: the gap between this scenario and the baseline is entirely attributable to carton length, so recovering it is worth quantifying in dollars before considering equipment or staffing changes. It computes the volume of one carton's outer dimensions and ignores pallet overhang, void space between cartons, and dunnage, so trailer fill will run below the raw cube total.

Results at a glance

  • Effective throughput: 0.22 cu ft (headline result)
  • Raw throughput: 1.16 cu ft
  • Efficiency: 19 %
  • Runtime: 19 hr

Run it with your numbers

  • To rerun this with your own numbers, open the live Packaging Cube calculator, set carton length to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.