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Everyday arithmetic

Box packing in six orientations

Box packing in six orientations: For each of six axis-aligned item orientations, multiply the whole-item counts along the three container dimensions; report the best uniform orientation.

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YOUR RESULT
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Enter your values, then select Calculate.

How it works

For each of six axis-aligned item orientations, multiply the whole-item counts along the three container dimensions; report the best uniform orientation.

Input definitions

Container length
Enter the value in the labeled unit.
Container width
Enter the value in the labeled unit.
Container height
Enter the value in the labeled unit.
Item length
Enter the value in the labeled unit.
Item width
Enter the value in the labeled unit.
Item height
Enter the value in the labeled unit.

A worked example

Container length
10
Container width
10
Container height
10
Item length
3
Item width
2
Item height
2
75

Assumptions & limits

Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Does the result prove the maximum possible packing?

No. It compares six uniform orientations only. Mixing orientations or using irregular placements can fit more items.

How does Box packing in six orientations work?

For each of six axis-aligned item orientations, multiply the whole-item counts along the three container dimensions; report the best uniform orientation.

What are the limits of Box packing in six orientations?

Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.

How do I keep the full worksheet?

Run the tool and choose Download file. The on-page table is a preview and may show only the first 20 rows; the downloaded file contains the full result. CSV downloads escape spreadsheet formula prefixes. Inputs and files are processed on your device.

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