Packaging Math

Packaging and Pallet Math: Case Pack, Cartons Per Pallet, and Utilization Formulas

Work through the core packaging and pallet formulas, case pack, cartons per pallet, cube utilization, and material yield, with real dimensions and worked numbers.

The packaging and palletization stack rests on four calculations that feed each other: case pack quantity, cartons per pallet, cube utilization, and raw material yield. Get the sequence wrong and every downstream number breaks. Work in one unit system per problem. A GMA pallet is 48 in by 40 in, 1200 mm by 1000 mm is the Euro-adjacent block, and the standard Euro pallet is 1200 mm by 800 mm. Carton dimensions run from inside or outside, so fix that convention first: outside dimensions govern pallet fit, inside dimensions govern product fit. Mixing the two is the single most common source of a case that will not close or a pallet that overhangs.

Start with case pack quantity. If a product footprint is 60 mm by 45 mm by 120 mm tall and the case inside dimensions are 300 mm by 225 mm by 240 mm, you fit 300 / 60 = 5 across, 225 / 45 = 5 deep, and 240 / 120 = 2 layers, giving 5 by 5 by 2 = 50 units per case. Never round a partial unit up. If depth gave 225 / 50 = 4.5, you take 4 and lose the remainder to void. The Case Pack Quantity calculator runs this floor division on all three axes and flags the wasted gap so you can retune product orientation before tooling the carton.

Cartons per pallet is the same floor division at the next level up. Take a case measuring 400 mm by 300 mm by 250 mm on a 1200 mm by 1000 mm pallet. Columnar stacking gives 1200 / 400 = 3 and 1000 / 300 = 3.33, so 3 cases per row along the width, 3 along the length, 9 per layer. Rotating some cases (a pinwheel pattern) often recovers that lost 0.33. Layer count comes from the height budget: a 1800 mm max load height minus a 150 mm pallet deck leaves 1650 mm, so 1650 / 250 = 6 layers, and 9 by 6 = 54 cases. The Cartons Per Pallet calculator tests interlocked versus columnar patterns for you.

Cube utilization tells you how much of the pallet envelope you actually filled. The formula is total case volume divided by the pallet cube envelope. With 54 cases at 400 by 300 by 250 mm, case volume is 0.03 cubic meters each, so 54 by 0.03 = 1.62 cubic meters of product. The envelope is 1.2 by 1.0 by 1.65 = 1.98 cubic meters, giving 1.62 / 1.98 = 82 percent cube utilization. Pallet Utilization reports both the footprint fill (area of cases divided by pallet area) and the cube fill, because a pallet can score 95 percent on footprint yet only 78 percent on cube when the top layer is short.

Pallet weight is a straight summation, but it is where audits fail. Load weight equals cases times gross case weight, plus the pallet tare. A wood GMA pallet runs 15 to 20 kg, a plastic pallet 18 to 25 kg. With 54 cases at 8.5 kg gross, that is 459 kg of product plus a 20 kg pallet, so 479 kg total. Check that against the 1000 kg dynamic and 4000 kg static ratings before you stack. The Pallet Weight calculator adds tare automatically and warns when you cross carrier or racking limits, which matters for LTL freight class and for double stacking in the trailer.

Raw material yield governs how much board or film you buy per finished case. Yield is good output divided by material input. If a corrugated sheet is 1000 mm by 800 mm and each carton blank needs 640 mm by 420 mm, one blank uses 268,800 square mm of a 800,000 square mm sheet, so a single-up layout wastes 66 percent. Nest two blanks and you push sheet utilization from 34 percent to 67 percent. The Sheet Utilization and Raw Material Yield calculators compute the nested layout and the scrap fraction, so you can size the master roll or sheet order against real per case consumption rather than a rule of thumb.

Chain the numbers to size an order. For 10,000 finished units at 50 units per case, you need 10,000 / 50 = 200 cases. At 54 cases per pallet that is 200 / 54 = 3.7, so 4 pallets, the last one at 38 cases. Each case takes one blank at 67 percent sheet utilization, so 200 blanks across a two-up sheet is 100 sheets, plus a 3 percent setup and reject allowance gives 103 sheets. Feeding these outputs, case pack, cartons per pallet, pallet weight, and sheet count, into a purchase order in one pass keeps material, freight, and storage assumptions consistent instead of estimated three different ways.

Published 2026-07-01.