Uniform Carton Count per Container

What this estimate covers: enter the container's usable internal width, length and height, and one carton's dimensions. Every carton uses one uniform orientation. Pallets, bracing, mixed orientations, loading sequence and weight distribution are not included.

Formula. The carton's three dimensions can be assigned to the container's three axes in six ways (which face points along the container's width, which along its length, and which stacks upward). For each of the six assignments (w, l, h):

across = floor(containerW / w), deep = floor(containerL / l), layers = floor(containerH / h), giving count = across × deep × layers

The tool keeps the assignment with the highest count and reports it.

Worked example. With the defaults (2350 × 12030 × 2390 mm internal, 400 × 600 × 350 mm cartons), keeping the carton in its given orientation (400 mm across, 600 mm deep, 350 mm up): across = floor(2350/400) = 5, deep = floor(12030/600) = 20, layers = floor(2390/350) = 6, for 5 × 20 × 6 = 600 cartons. Checking the other five orientations, none beats this (one - 350 mm across, 600 mm deep, 400 mm up - ties it at 600 but isn't reported since this orientation is checked first), so 600 is the value shown.

The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.

Internal width

2350 mm

Internal length

12030 mm

Internal height

2390 mm

Carton width

400 mm

Carton length

600 mm

Carton height

350 mm

Primary result: Best uniform-grid count found: 600.

• Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
• Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
• When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

This checks six axis-aligned, uniform grids - every carton facing the same way throughout the whole container - and reports the best one. It is not an industrial packing optimizer: real loaders routinely mix orientations, use partial layers, or interlock cartons in ways that beat any single uniform grid, none of which this tool searches for.

It ignores container doors and loading access - the arrangement it reports assumes the entire internal volume is reachable and stackable, which isn't true right at the door end or for pallets that need forklift clearance. It also ignores payload weight limits (a container often reaches its legal weight limit before it reaches this volume limit), dunnage and load bracing needed to stop cargo shifting in transit, and carton crush strength under a full stack.

When more than one orientation ties for the highest count, the tool reports whichever one it checks first - the choice between tied options is arbitrary and not a claim that one is structurally better.