Mattress, Bedding & Foam Product Assembly worked example
Packaging Cube with carton length of 110 in: a worked example in mattress, bedding & foam product assembly
What does the result look like when carton length reaches 110 in? The full calculation is worked below with real intermediate numbers. Use this when planning truck loads, calculating freight cost per mattress, optimizing carton dimensions for bed-in-a-box, or determining how many rolled mattresses fit in a 53-foot trailer or shipping container.
The inputs for this scenario
- Carton length: 110 in (raised for this scenario; the documented default is 44)
- Carton width: 19 in (unchanged)
- Carton height: 19 in (unchanged)
Working through the calculation
- Applying the documented formula (Carton volume (cu in) = length × width × height) to the inputs above produces each figure below.
- At this operating point the engine returns 1.1 cu ft for effective throughput, the number this scenario is built around.
- At this operating point the engine returns 5.79 cu ft for raw throughput.
- At this operating point the engine returns 19 % for efficiency.
- At this operating point the engine returns 19 hr for runtime.
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 150% above the baseline at 1.1 cu ft.
- A figure at this level is achievable when carton length is genuinely sustained, not just peaked for a shift. 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: 1.1 cu ft (headline result)
- Raw throughput: 5.79 cu ft
- Efficiency: 19 %
- Runtime: 19 hr
Run it with your numbers
- Every input above is editable in the live Packaging Cube calculator, which recalculates instantly and can be shared with the inputs intact.
Last reviewed 2026-05-12.