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The ISO 216 formats are organized around the ratio 1: √ 2; two sheets next to each other together have the same ratio, sideways. In scaled photocopying, for example, two A4 sheets reduced to A5 size fit exactly onto one A4 sheet, and an A4 sheet in magnified size onto an A3 sheet; in each case, there is neither waste nor want.
A quire of paper is a measure of paper quantity. The usual meaning is 25 sheets of the same size and quality: 1 ⁄ 20 of a ream of 500 sheets. Quires of 25 sheets are often used for machine-made paper, while quires of 24 sheets are often used for handmade or specialised paper of 480-sheet reams.
The weight of an A-series sheet of a given paper weight can be calculated by knowing the ratio of its size to the A0 sheet. For example, an A4 sheet is 1 ⁄ 16 the size of an A0 sheet, so if it is made from 80-g/m 2 paper, it weighs 1 ⁄ 16 of 80 g, which is 5 g.
A2 is half the size of a sheet of A1, and so forth. Common sizes used in the office and the home are A4 and A3 (A3 is the size of two A4 sheets). The density of paper ranges from 250 kg/m 3 (16 lb/cu ft) for tissue paper to 1 500 kg/m 3 (94 lb/cu ft) for some specialty paper.
However, a sheet of common copy paper that has a basis weight of 20 pounds (9.1 kg) does not have the same mass as the same size sheet of coarse paper (newsprint). In the former case, the standard ream is 500 sheets of 17-by-22-inch (432 by 559 mm) paper, and in the latter, 500 sheets of 24-by-36-inch (610 by 914 mm) paper.
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1:1.2941 A4 B 279 x 432 11.0 x 17.0 1:1.5455 A3 C 432 x 559 ... a Chinese court official and inventor, made paper sheets using the “bark of trees, remnants ...
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