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Formula

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Results

Cartons per Container
1,918
limited by Volume
Carton volume 0.03 m³
Max by volume 1,918 cartons
Max by weight 2,650 cartons
Volume used 57.54 m³
Weight loaded 19,180 kg
Container fill 85 %

What is the Container Loading Calculator?

This calculator estimates how many cartons of a given size and weight you can fit into a standard shipping container. It compares two limits — the available cubic volume and the maximum payload weight — and reports whichever runs out first. It is useful for freight forwarders, importers, exporters and anyone planning an FCL (full container load) shipment.

Cutaway of a shipping container filled with stacked cartons, with length, width and height dimensions marked
Cartons are packed into the container's usable internal volume.

How to use it

Pick a container type (20ft, 40ft or 40ft high cube) or choose Custom and type your own volume and payload. Enter the carton's length, width and height in centimetres, its weight in kilograms, and a realistic volume utilisation percentage. Because cartons never pack perfectly, a utilisation of 80–90% reflects real-world stacking gaps and bracing. The tool then shows the carton count and whether volume or weight is the binding constraint.

The formula explained

First the carton volume is found in cubic metres by dividing each dimension by 100 and multiplying. Usable container volume is the rated volume times your utilisation factor. The volume limit is the floor of usable volume ÷ carton volume, and the weight limit is the floor of payload ÷ carton weight. The final answer is the smaller of the two.

$$\begin{gathered} \text{Units} = \min\!\left( \left\lfloor \frac{V_{usable}}{V_{carton}} \right\rfloor,\ \left\lfloor \frac{\text{Max Payload (kg)}}{\text{Carton Weight (kg)}} \right\rfloor \right) \\[1.5em] \text{where}\quad \left\{ \begin{aligned} V_{usable} &= \text{Container Volume (m}^3\text{)} \times \frac{\text{Utilisation (\%)}}{100} \\ V_{carton} &= \frac{\text{L}}{100} \times \frac{\text{W}}{100} \times \frac{\text{H}}{100} \end{aligned} \right. \end{gathered}$$

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Diagram showing the smaller of two limits: a volume stack of boxes versus a weight scale
The load is limited by whichever runs out first: volume or weight.

Worked example

A 40ft standard container (67.7 m³, 26,500 kg) loads cartons of 40×30×25 cm weighing 10 kg, at 85% utilisation. Carton volume = \(0.4\times0.3\times0.25 = 0.03\ \text{m}^3\). Usable volume = \(67.7\times0.85 = 57.545\ \text{m}^3\), so by volume = \(\left\lfloor 57.545/0.03 \right\rfloor = 1918\) cartons. By weight = \(\left\lfloor 26500/10 \right\rfloor = 2650\). The volume limit wins: 1,918 cartons.

FAQ

Why not 100% utilisation? Cartons leave gaps, need bracing and rarely tessellate perfectly; 80–90% is typical.

Does it plan exact stacking positions? No — it is a quick capacity estimate, not a 3D load plan.

What if weight is the limit? The result note shows "limited by Weight", meaning you'll hit the payload cap before filling the cube.

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