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Pallet calculator: boxes per layer and per pallet

Enter the box, the pallet and the height and weight limits. The calculator tries the column pattern both ways and block patterns, draws the layer (TI) and the tiers (HI), and tells how many pallets the order takes.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

Pre-sizing
Box
Pallet
Load limits
—Boxes per pallet
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Layer drawing (top view)

To scale. Different colors mark boxes turned 90°. The dashed outline is the limit with the overhang or underhang entered. Heuristic result: a good pattern, not necessarily the optimum.

Boxes per pallet by pattern

Column pattern both ways and the best block pattern, with the box upright and, if allowed, on its side.

Tap the chart to see the values.

Boxes per pallet versus maximum height

Each step is one more layer. Maximum gross weight may also cap it. The dashed line is the maximum height entered.

Tap the chart to see the values.

Next step

Take this page’s results to another calculator with the fields already filled in.

The calculation report gathers this page's inputs, results, equations, assumptions and references, with fields for project, engineer and revision. The full report also includes the charts and interpretations, in color. In the print dialog, choose Save as PDF.

Method, assumptions and references

Equations used

Usable area = (pallet L + 2·overhang) × (pallet W + 2·overhang)
Column: n = ⌊A/a⌋ · ⌊B/b⌋ or ⌊A/b⌋ · ⌊B/a⌋; blocks: f(x, y) = max{column, f(x₁, y) + f(x − x₁, y), f(x, y₁) + f(x, y − y₁)} over combinations x₁ = i·a + j·b
Layers (HI) = ⌊(H_max − pallet h) ÷ box h⌋; boxes per pallet = min(layers × boxes/layer, ⌊(W_max − pallet weight) ÷ box weight⌋)
Area use = boxes/layer × a × b ÷ (pallet L × W); cube use = boxes × a × b × c ÷ [L × W × (H_max − pallet h)]

Assumptions and limits

  • Block patterns come from successive straight cuts (guillotine patterns). Pinwheel patterns that cannot be split by straight cuts may fit one or two more boxes in some cases: the result is a good pattern, not necessarily the optimum.
  • All layers use the same pattern; in practice alternate direction (turning or mirroring each layer) to interlock the load. Gaps between boxes, bulging, top caps and edge boards are not included.
  • Box stacking strength is not checked here: use the corrugated box strength calculator with the layer count found.

Standards and technical documents

  • ISO 6780: Flat pallets for intercontinental materials handling — Principal dimensions and tolerances
  • EN 13698-1: Pallet production specification — Construction specification for 800 mm × 1200 mm flat wooden pallets
  • ISO 3394: Packaging — Complete, filled transport packages and unit loads — Dimensions of rigid rectangular packages
  • Beasley, J. E. An exact two-dimensional non-guillotine cutting tree search procedure. Operations Research 33(1), 1985
  • Dowsland, K. A. The three-dimensional pallet chart: an analysis of the factors affecting the set of feasible layouts for a class of two-dimensional packing problems. J. Oper. Res. Soc. 35(10), 1984
  • FAO/IPPC. ISPM 15 (NIMF 15): Regulation of wood packaging material in international trade

U.S. regulations

  • OSHA 29 CFR 1910.176: Handling materials — general (secure stacking, height limits)
  • OSHA 29 CFR 1910.178: Powered industrial trucks
  • USDA APHIS 7 CFR 319.40: importation of wood articles, including wood packaging material (ISPM 15)

Frequently asked questions

What does this calculator do?

It finds how many boxes fit per layer (TI), how many layers (HI) and how many boxes per pallet within the maximum height and weight. It draws the layer for whoever builds the pallet and works out how many pallets an order takes. Use it when sizing a new shipper case, filling in a customer pallet pattern or planning shipments.

What are column and block patterns?

In a column pattern all boxes face the same way in rows and columns. In a block pattern the layer is split into rectangles with some boxes turned, using the edge strip. In the example, 16 × 12 in cases on a 48 × 40 GMA pallet give 9 per layer in columns and 10 in blocks: 6 one way and 4 turned, covering 100% of the deck.

How do I read the example result?

The pallet takes 10 cases per layer and 5 layers, 50 cases, for a total height of 56 in (6 in pallet + 5 × 10 in) and 1,540 lb gross. The 60 in height limit governs: a sixth layer would exceed it. The 600-case order needs 12 full pallets; a column pattern would need 14.

What are the common pallet sizes?

GMA: 48 × 40 in, the US grocery standard. Euro: 1,200 × 800 mm (47.2 × 31.5 in). Brazil PBR: 1,200 × 1,000 mm. Asia: 1,100 × 1,100 mm. Pallet height and empty weight depend on the maker and material, so adjust the fields to your own.

Can the box lie on its side?

Only if the packaging allows it. Corrugated boxes carry much more load upright, because the vertical walls act as columns; on their side stacking strength drops sharply. With "This side up: No" the calculator also tries the box lying down and shows whether that fits more.

What maximum height and weight should I use?

It depends on racking, trailer, customer receiving rules and bottom box strength. Total heights of 48 to 72 in are common; in a 53 ft van with about 108 in inside height, loads up to 54 in can be double stacked. Gross weight usually stays under 2,000 to 2,500 lb per wood pallet: check with the pallet supplier and your customer.

Is the result the best possible pattern?

It is a good pattern, not necessarily the optimum. The calculator finds the best pattern that can be split by successive straight cuts; pinwheel patterns can fit one or two more boxes in some cases. Once the pattern is set, check box compression strength and alternate the layer direction to interlock the load.