THE OPEN REFERENCE

Paper reference data.

Nine familiar formats. Eighty-one geometric conversions. Download the numbers, inspect the formulas and use them in your own work.

What is in the reference?

This collection combines published nominal dimensions with our calculated conversions. It covers A0, A1, A2, A3, A4, A5, A6, US Letter and US Legal. The downloads include portrait dimensions in millimetres and inches, area in square metres, estimated mass at 80 gsm, image dimensions at 300 PPI, and every portrait fit-scale pairing between these nine formats.

The numeric values are available for reuse. When citing nominal sizes, refer to the source standard or published reference. When citing the conversion tables, link to this page so readers can inspect the method. The downloads contain factual dimensions and our calculations, rather than a copy of the ISO standard.

The dimensions behind the calculations

These are the exact records in the dimensions CSV. Width and height are portrait dimensions; inches and calculated quantities retain the download's stated precision.

All nine dimensions CSV records, with units in the column headings
FormatWidth (mm)Height (mm)Width (in)Height (in)Area (m²)Mass at 80 gsm (g)Width at 300 PPI (px)Height at 300 PPI (px)
A0841118933.11023646.8110240.99994979.99592993314043
A159484123.38582733.1102360.49955439.9643270169933
A242059416.53543323.3858270.2494819.958449617016
A329742011.69291316.5354330.124749.979235084961
A42102978.26771711.6929130.062374.989624803508
A51482105.8267728.2677170.031082.486417482480
A61051484.1338585.8267720.015541.243212401748
US Letter215.9279.48.5110.060322464.82579725503300
US Legal215.9355.68.5140.076774046.14192325504200

Every portrait fit-scale record

All 81 CSV records are shown below. A percentage fits inside the nominal sheet, without printer margins, bleed or crop marks. These download values round to six decimal places; for a conservatively rounded value that never exceeds the nominal bound, use the print scale table and the precision notes there.

All 81 scale CSV records: source, destination, percentage and assumptions
Source formatDestination formatFit (%)OrientationPrinter margins included
A0A0100portraitfalse
A0A170.630202portraitfalse
A0A249.940547portraitfalse
A0A335.315101portraitfalse
A0A424.970273portraitfalse
A0A517.598098portraitfalse
A0A612.447435portraitfalse
A0US Letter23.498738portraitfalse
A0US Legal25.671819portraitfalse
A1A0141.37931portraitfalse
A1A1100portraitfalse
A1A270.630202portraitfalse
A1A349.940547portraitfalse
A1A435.315101portraitfalse
A1A524.915825portraitfalse
A1A617.598098portraitfalse
A1US Letter33.222354portraitfalse
A1US Legal36.346801portraitfalse
A2A0200.16835portraitfalse
A2A1141.428571portraitfalse
A2A2100portraitfalse
A2A370.707071portraitfalse
A2A450portraitfalse
A2A535.238095portraitfalse
A2A624.915825portraitfalse
A2US Letter47.037037portraitfalse
A2US Legal51.404762portraitfalse
A3A0283.095238portraitfalse
A3A1200portraitfalse
A3A2141.414141portraitfalse
A3A3100portraitfalse
A3A470.707071portraitfalse
A3A549.83165portraitfalse
A3A635.238095portraitfalse
A3US Letter66.52381portraitfalse
A3US Legal72.693603portraitfalse
A4A0400.3367portraitfalse
A4A1282.857143portraitfalse
A4A2200portraitfalse
A4A3141.414141portraitfalse
A4A4100portraitfalse
A4A570.47619portraitfalse
A4A649.83165portraitfalse
A4US Letter94.074074portraitfalse
A4US Legal102.809524portraitfalse
A5A0566.190476portraitfalse
A5A1400.47619portraitfalse
A5A2282.857143portraitfalse
A5A3200portraitfalse
A5A4141.428571portraitfalse
A5A5100portraitfalse
A5A670.47619portraitfalse
A5US Letter133.047619portraitfalse
A5US Legal145.878378portraitfalse
A6A0800.952381portraitfalse
A6A1565.714286portraitfalse
A6A2400portraitfalse
A6A3282.857143portraitfalse
A6A4200portraitfalse
A6A5140.952381portraitfalse
A6A6100portraitfalse
A6US Letter188.783784portraitfalse
A6US Legal205.619048portraitfalse
US LetterA0389.532191portraitfalse
US LetterA1275.127374portraitfalse
US LetterA2194.534507portraitfalse
US LetterA3137.563687portraitfalse
US LetterA497.267253portraitfalse
US LetterA568.550255portraitfalse
US LetterA648.633627portraitfalse
US LetterUS Letter100portraitfalse
US LetterUS Legal100portraitfalse
US LegalA0334.364454portraitfalse
US LegalA1236.501687portraitfalse
US LegalA2167.04162portraitfalse
US LegalA3118.110236portraitfalse
US LegalA483.52081portraitfalse
US LegalA559.055118portraitfalse
US LegalA641.619798portraitfalse
US LegalUS Letter78.571429portraitfalse
US LegalUS Legal100portraitfalse

Use the tables in data tools

The CSVW metadata describes each column's type and units, identifies rows and connects both scale-format columns to the dimensions table. Each sidecar includes the complete two-table group, so a compatible validator can resolve those references. The existing CSV and complete JSON downloads are unchanged.

The metadata files follow the W3C CSVW recommendation. They describe how to read the existing data; they do not change the formulas, precision or production assumptions.

Reproduce an answer

Inches: divide millimetres by exactly 25.4. The CSV keeps six decimal places at most; the human reference pages generally show two.

Pixels: multiply physical inches by 300, then round to the nearest whole pixel. This represents image PPI, rather than a printer’s dot resolution.

Mass: multiply the nominal area in square metres by 80 grams per square metre. This excludes ink, packaging, binding and variation in real paper stock.

Scale: calculate both target-to-source dimension ratios and use the smaller. For A4 to A3, the result is approximately 141.414141%. The matrix assumes portrait orientation and no printer margins. Use the print scale calculator for an individual comparison.

Precision and limits

ISO A sizes are rounded to nominal whole-millimetre dimensions. Using an ideal square-root-of-two ratio for every conversion can therefore give a slightly different result. Manufacturing tolerance, printer margins and print-driver scaling are separate from these calculations.

The reference does not predict how many bleed-ready pieces fit on a larger sheet. For that task, use the print sheet layout planner, where bleed, margins and gaps are explicit inputs.

Sources

The JSON download includes these source links and the calculation methods alongside the records, so provenance travels with the data.

Inspect constructed layouts

The 24-case layout benchmark adds margins, bleed, gaps and complete placement coordinates to a separate reproducible dataset. It includes an independent geometry verifier. For physical-size output, use the print worksheets and calibration references.