Mattress, Bedding & Foam Product Assembly calculator
Packaging Cube Calculator
Packaging cube is the shipped volume of a roll-packed mattress carton in cubic feet, derived from its outer length, width, and height. Logistics planners and warehouse managers use it because boxed beds are almost always cubed-out before they weigh out — you fill the trailer or container by volume long before you hit a weight limit. It matters for dimensional-weight freight rates, pallet stacking, and how many units fit in a storage bay, all of which are driven by the carton's cubic footprint rather than its weight. Getting the cube right turns a pile of inch dimensions into the number carriers and 3PLs actually bill against.
What this calculator does
- Calculate the freight cube (cubic feet) of packaged mattresses for shipping container loading, truck utilization, and freight cost estimation.
- 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.
- It multiplies carton length, width, and height to get cubic inches, then divides by 1,728 to convert to cubic feet.
Formula used
- Carton volume (cu in) = length × width × height
- Packaging cube (cu ft) = carton volume ÷ 1,728
Inputs explained
- Carton length:
- Carton width:
- Carton height:
How to use the result
- Use it to estimate freight cube, plan pallet and trailer loads, or size warehouse slotting for boxed-bed SKUs.
- 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.
Current U.S. benchmarks
- The producer price index for plastic resins and materials stands at 319.371 (BLS, May 2026), up 19.5% from a year earlier. Quotes priced off last quarter's material cost miss this move.
- Manufacturing hourly earnings average $30.27 (BLS, Jun 2026), up 4.4% from a year earlier. Median machinist pay is $28.24/hr (OEWS 2025), with state medians on each state page. Manufacturers have 529k open positions nationally (BLS JOLTS).
Common questions
- How do you calculate packaging cube in cubic feet? Multiply length by width by height in inches to get cubic inches, then divide by 1,728 (the number of cubic inches in a cubic foot). A 44 x 19 x 19 inch boxed-queen carton works out to roughly 8.7 cubic feet of true carton volume.
- Why divide by 1,728? There are 12 inches per foot, and a cubic foot is 12 x 12 x 12 = 1,728 cubic inches. Dividing cubic inches by 1,728 converts the volume into cubic feet, the unit carriers and pallet planners use.
- What is a typical packaging cube for a boxed mattress? Roll-packed queens commonly land in the 8-10 cubic foot range depending on foam height and compression. Tall hybrids that don't compress as far cube larger; thin all-foam toppers cube much smaller.
- How does packaging cube affect freight cost? Parcel and LTL carriers bill the greater of actual weight or dimensional weight, and boxed beds almost always cube out first. A smaller carton cube directly lowers dimensional weight and the rate, so tighter compression pays off in freight.
- How many boxed mattresses fit on a pallet? Divide usable pallet cube by the carton cube, then derate for stacking pattern and overhang. A standard 48x40 pallet stacked to about 60 inches gives roughly 56 cubic feet usable, so six to eight roll-packed queens is typical before void space.
Last reviewed 2026-05-12.