ISO
Paper Standards - Technical Definition
Standard paper sizes like ISO A4 are widely used all over the world
today. In the ISO paper size system, the height-to-width ratio of all
pages is the square root of two (1.4142 : 1). In other words, the width
and the height of a page relate to each other like the side and the
diagonal of a square. This aspect ratio is especially convenient for a
paper size. If you put two such pages next to each other, or
equivalently cut one parallel to its shorter side into two equal
pieces, then the resulting page will have again the same width/height
ratio.
The ISO paper sizes are based on the
metric system. The
square-root-of-two ratio does not permit both the height and width of
the pages to be nicely rounded metric lengths. Therefore, the area of
the pages has been defined to have round metric values. As paper is
usually specified in g/m˛, this simplifies calculation of the mass of a
document if the format and number of pages are known.
ISO 216 defines the A series of
paper sizes based on these simple principles:
The height
divided by the width of all
formats is the square root of two (1.4142).
Format A0 has an area of one square
meter.
Format A1 is A0 cut into two equal
pieces. In other words, the height of A1 is the width of A0 and the
width of A1 is half the height of A0.
All
smaller A series formats are
defined in the same way. If you cut format An parallel to its
shorter side into two equal pieces of paper, these will have format A(n+1).
The
standardized height and width of
the paper formats is a rounded number of millimeters.
For applications where the ISO A
series does not provide an adequate
format, the B series has been introduced to cover a wider range of
paper sizes. The C series of formats has been defined for envelopes.
The width and
height of a Bn
format are the geometric mean between those of the An and the
next larger A(n-1) format. For instance, B1 is the geometric
mean between A1 and A0, that means the same magnification factor that
scales A1 to B1 also scales B1 to A0.
Similarly,
the formats of the C series
are the geometric mean between the A and B series formats with the same
number. For example, an (unfolded) A4 size letter fits nicely into a C4
envelope, which in turn fits as nicely into a B4 envelope. If you fold
this letter once to A5 format, then it will fit nicely into a C5
envelope.
B and C
formats naturally are also
square-root-of-two formats.
ISO Paper Sizes
A series
formats |
Size |
mm |
inches |
4A0 |
1682 × 2378 |
66 1/4 × 93 5/8 |
2A0 |
1189 × 1682 |
46 3/4 × 66 1/4 |
A0 |
841 × 1189 |
33 × 46 3/4 |
A1 |
594 × 841 |
23 3/8 × 33 |
A2 |
420 × 594 |
16 1/2 × 23 3/8 |
A3 |
297 × 420 |
11 3/4 × 16 1/2 |
A4 |
210 × 297 |
8 1/4 × 11 3/4 |
A5 |
148 × 210 |
5 7/8 × 8 1/4 |
A6 |
105 × 148 |
4 1/8 × 5 7/8 |
A7 |
74 × 105 |
2 7/8 × 4 1/8 |
A8 |
52 × 74 |
2 × 2 7/8 |
A9 |
37 × 52 |
1 1/2 × 2 |
A10 |
26 × 37 |
1 × 1 1/2 |
B series
formats |
Size |
mm |
inches |
B0 |
1000 × 1414 |
39 3/8 × 55 3/4 |
B1 |
707 × 1000 |
27 3/4 × 39 3/8 |
B2 |
500 × 707 |
19 3/4 × 27 3/4 |
B3 |
353 × 500 |
13 7/8 × 19 3/4 |
B4 |
250 × 353 |
9 7/8 × 13 7/8 |
B5 |
176 × 250 |
7 × 9 7/8 |
B6 |
125 × 176 |
4 7/8 × 7 |
B7 |
88 × 125 |
3 1/2 × 4 7/8 |
B8 |
62 × 88 |
2 1/2 × 3 1/2 |
B9 |
44 × 62 |
1 3/4 × 2 1/2 |
B10 |
31 × 44 |
1 1/4 × 1 3/4 |
C series
formats |
Size |
mm |
inches |
C0 |
917 × 1297 |
36 × 51 |
C1 |
648 × 917 |
25 1/2 × 36 |
C2 |
458 × 648 |
18 × 25 1/2 |
C3 |
324 × 458 |
12 3/4 × 18 |
C4 |
229 × 324 |
9 × 12 3/4 |
C5 |
162 × 229 |
6 3/8 × 9 |
C6 |
114 × 162 |
4 1/2 × 6 3/8 |
C7 |
81 × 114 |
3 3/16 × 4 1/2 |
C8 |
57 × 81 |
2 1/4 × 3 3/16 |
C9 |
40 × 57 |
1 5/8 × 2 1/4 |
C10 |
28 × 40 |
1 1/8 × 1 5/8 |
Magnification
Factors
It is often necessary to either increase or reduce an An page in
size on a photocopier, digital printer, or in a software application.
In order to maintain an accurate magnification you should always use
the exact percentages shown in the table below:
|
A0 |
A2 |
A3 |
A4 |
A5 |
A6 |
A7 |
A8 |
A9 |
A10 |
A0 |
100% |
50% |
35% |
25% |
18% |
12.5% |
8.8% |
6.2% |
4.4% |
3.1% |
A1 |
141% |
71% |
50% |
35% |
25% |
18% |
12.5% |
8.8% |
6.2% |
4.4% |
A2 |
200% |
100% |
71% |
50% |
35% |
25% |
18% |
12.5% |
8.8% |
6.2% |
A3 |
283% |
141% |
100% |
71% |
50% |
35% |
25% |
18% |
12.5% |
8.8% |
A4 |
400% |
200% |
141% |
100% |
71% |
50% |
35% |
25% |
18% |
12.5% |
A5 |
566% |
283% |
200% |
141% |
100% |
71% |
50% |
35% |
25% |
18% |
A6 |
800% |
400% |
283% |
200% |
141% |
100% |
71% |
50% |
35% |
25% |
A7 |
1131% |
566% |
400% |
283% |
200% |
141% |
100% |
71% |
50% |
35% |
A8 |
1600% |
800% |
566% |
400% |
283% |
200% |
141% |
100% |
71% |
50% |
A9 |
2263% |
1131% |
800% |
566% |
400% |
283% |
200% |
141% |
100% |
71% |
A10 |
3200% |
1600% |
1131% |
800% |
566% |
400% |
283% |
200% |
141% |
100% |
Envelope Formats
The DL format is the most widely used business letter format envelope
size. DL probably originally stood for “DIN lang” historically, but ISO
269 now explains this abbreviation more diplomatically as “Dimension
Lengthwise” instead. Its size falls somewhat out of the system and
equipment manufacturers have complained that it is slightly too small
for reliable automatic enveloping. Therefore, DIN 678 introduced the
C6/C5 format as an alternative for the DL envelope. For postal
purposes, ISO 269 and DIN 678 define the following envelope formats:
Format |
mm |
Content
Format |
C6 |
114 × 162 |
A4 folded twice = A6 |
DL |
110 × 220 |
A4 folded twice = 1/3 A4 |
C6/C5 |
114 × 229 |
A4 folded twice = 1/3 A4 |
C5 |
162 × 229 |
A4 folded once = A5 |
C4 |
229 × 324 |
A4 |
C3 |
324 × 458 |
A3 |
B6 |
125 × 176 |
C6 envelope |
B5 |
176 × 250 |
C5 envelope |
B4 |
250 × 353 |
C4 envelope |
E4 |
280 × 400 |
B4 |
North American
Formats
The United States, Canada, and in part Mexico, are today the only
industrialized nations in which the ISO standard paper sizes are not
yet widely used. Their formats are as follows:
Format |
mm |
inches |
Letter |
216 x 280 |
8.5 x 11.0 |
Legal |
216 x 356 |
8.5 x 14.0 |
Executive |
184 x 267 |
7.25 x10.5 |
Tabloid |
279 x 431 |
11 x 17 |
Ledger |
431 x 279 |
10.5 x 7.25 |
Poster Formats
Quad - 1016mm x 762mm -
40in x 30in (landscape), the standard UK format.
Double Quad
- 1016mm x
1524mm - 40in x 60in, (portrait). A newer style, often rolled. Also
called a "Subway" size or a "4 Sheet".
One Sheet
- 685mm x
1041mm - 27in x 41in (portrait). The British one sheet has since been
mostly replaced with the Quad.
Large Posters and billboards are
defined as follows:
4 Sheet
1016mm x 1524mm - 40in x 60in, (portrait).
This size is usually referred to as a 4 sheet poster and is regulary
used for outdoor advertising. Multiples of this size are use to create
large hoarding sizes; 48 sheet and 96 sheet posters.
6 Sheet
More O Ferrall / Adshel / TDI / Primesites
1800mm x 1200mm
(60in x 40in)
Decaux 1750mm x 1185mm
48 Sheet
3048mm x 6096mm - 120in x 240in
A 48 sheet poster comprising 12 x 4 sheet (60in x 40in) sections
joined.
European equivalent: 3m x 6m.
96 Sheet
3048mm x 12192mm - 120in x 480in
A 96 sheet poster comprising of 24 x 4 sheet (60in x 40in) sections
joined.
European equivalent: 3m x 12m. |