Core answer: A4 = 210×297 mm, A3 = 297×420 mm (two A4 sheets), A5 = 148×210 mm (A4 folded in half). The pattern: each fold of an A-series sheet adds 1 to the number, and the aspect ratio stays √2:1 — so A4 enlarged 141% is exactly A3.

Full A-series table

SizeDimensions (mm)Typical use
A0841×1189Engineering drawings, posters
A1594×841Display boards, charts
A2420×594Banners, drawings
A3297×420Exam papers, reports, small posters
A4210×297The office standard
A5148×210Notebooks, manuals
A6105×148Postcards, notes
A774×105Cards
A852×74Business-card size

Rule: adjacent sizes relate by folding/joining — the area doubles or halves.

B and C series (envelopes)

SizeDimensions (mm)Use
B4250×353Exam sheets, magazines
B5176×250Notebooks, books
B6125×176Pocket books
C4229×324Holds A4 unfolded
C5162×229Holds A5 / A4 folded once
DL110×220Standard business envelope for A4 trifolded

Why the aspect ratio is √2

A-series long side : short side = √2:1 ≈ 1.414:1. The magic: folding in half preserves the ratio (a (√2/2):1 rectangle rotated is again 1:√2).

Practical payoffs:

  • A4 content shrinks to A5 (71%) or enlarges to A3 (141%) with zero distortion
  • Booklet printing (A4 folded and bound into A5) scales margins proportionally

Chinese book formats: 16mo / 32mo

Chinese publishing still uses "kai" (开) formats — the count of sheets cut from a full sheet (787×1092 mm). After trim losses, these do not equal A-series:

FormatTrimmed size (approx, mm)Closest A/B size
16 kai185×260Slightly narrower than A4
Large 16 kai210×285Close to A4
32 kai130×185Near A5, narrower
Large 32 kai145×210Near A5
64 kai92×126Near A7

Photo paper and frame sizes

Common nameDimensions (mm)Note
5-inch (3R)89×127Wallet photo
6-inch (4R)102×152Home standard
7-inch (5R)127×178Desk frame
8-inch152×203Close to A5
10-inch203×254Wall hanging
12-inch254×305Enlargements

Photo "inches" measure the long edge in inches — a completely different track from A-series; never mix them.

  • Borderless printing: make the file 3 mm larger than the paper (bleed) — e.g., an A4 design at 216×303 mm, trimmed to hide white edges
  • Scaling cheat sheet: A4→A3 use 141%, A4→A5 use 71%, A3→A4 use 71% (1/√2 ≈ 70.7%)
  • Booklets: A4 duplex + "2 pages per sheet + booklet layout" — fold for an A5 manual

Common mistakes and myths

  • "A4 is 21×30" — the exact value is 210×297 mm; rounding to 21×30 breaks imposition alignment.
  • "16 kai equals A4" — 16 kai (185×260) is narrower and shorter; textbooks use 16 kai, offices use A4. Print school PDFs with "fit to page" or edges get cut.
  • "B5 is bigger than A4" — B5 (176×250) is clearly smaller; within B-series only B4 (250×353) sits between A4 and A3.
  • "A 6-inch photo equals A6" — 6-inch photo is 102×152 mm, A6 is 105×148 mm: close but not equal. Measure before buying frames.

Use the [Paper Size Calculator](/c/convert/paper-size) for any size and scaling ratio, and the [PPI Calculator](/c/convert/ppi) for print resolution.