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Paper Size & Sheet Cut Calculator

Calculate the maximum number of finished sheets, flyers, or business cards (`N-up`) that can be cut from any parent press sheet (`ISO A0–A4`, `SRA3`, `US 12×18`, or custom dimensions), complete with bleed gutters, perimeter margins, orientation comparisons, and an imposition grid diagram.

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Enter the inputs, then select Calculate Sheet Yield & Layout.

All width, height, bleed, and margin fields below use this unit.

Full width of the parent press sheet (e.g. 320 mm for SRA3, 841 mm for A0, or 12 in for 12×18).

Full height of the parent press sheet (e.g. 450 mm for SRA3, 1189 mm for A0, or 18 in for 12×18).

Trimmed width of a single finished card or sheet (e.g. 90 mm business card or 210 mm A4).

Trimmed height of a single finished card or sheet (e.g. 54 mm business card or 297 mm A4).

Total bleed/gutter spacing between adjacent pieces (e.g. 4 mm = 2 mm bleed on each side).

Outer sheet margin deducted on all 4 sides before imposition (e.g. 5 mm press margin).

Your result
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Result will appear here

How the Paper Size & Sheet Cut Calculator Works

Enter your parent sheet size, finished trim size, gutter gap, and gripper margin to compare all three cut orientations.

Usable Width W_u = W − 2×Margin, Usable Height H_u = H − 2×Margin; N_straight = floor((W_u + Gutter)/(w + Gutter)) × floor((H_u + Gutter)/(h + Gutter)); N_rotated = floor((W_u + Gutter)/(h + Gutter)) × floor((H_u + Gutter)/(w + Gutter)); Material Utilization % = (N_best × w × h) / (W × H) × 100.

Evaluates unrotated (Portrait/Aligned), 90°-rotated (Landscape/Cross-grain), and guillotine-compatible mixed strips, and generates an ASCII layout map plus standard ISO/ANSI sheet reference.

Paper Size & Sheet Cut Calculator workflow overview
Workflow overview for Paper Size & Sheet Cut Calculator.

Standard ISO 216, SRA & North American Press Sheet Dimensions Reference Table

Exact dimensions in millimeters and inches plus typical N-up yields for common commercial print stocks.

Paper Standard / FormatMillimeters (W × H)Inches (W × H)Sheet AreaCommon Imposition / Cut Yield
**ISO A0** (Base 1 m²)`841 × 1189 mm``33.11 × 46.81 in``1.000 m²``16 × A4` or `32 × A5` (zero-bleed trim)
**ISO A3**`297 × 420 mm``11.69 × 16.54 in``0.125 m²``2 × A4` or `4 × A5` (no bleed margin)
**SRA3** (Default Digital Press)`320 × 450 mm``12.60 × 17.72 in``0.144 m²`**`21 × Business Cards (90×54 mm)`** or `2 × Full-Bleed A4`
**ISO A4**`210 × 297 mm``8.27 × 11.69 in``0.062 m²``10 × Business Cards (90×54 mm, 0 gutter)`
**US Tabloid / Ledger**`279.4 × 431.8 mm``11.00 × 17.00 in``0.121 m²``2 × US Letter (8.5 × 11 in)`
**US Digital Arch B / Super B**`304.8 × 457.2 mm``12.00 × 18.00 in``0.139 m²``2 × Full-Bleed US Letter` or `24 × US Business Cards (3.5×2 in)`

How to use Paper Size & Sheet Cut Calculator step by step

Enter the values for your scenario, verify the units, and run the calculation.

Enter the inputs

Start by entering the required fields in the Paper Size & Sheet Cut Calculator form above.

Paper Size & Sheet Cut Calculator step 1: Enter the inputs
Step 1 workflow overview for Paper Size & Sheet Cut Calculator.

Verify units and assumptions

Match each value to the unit or format shown next to the input box before running the calculation.

Paper Size & Sheet Cut Calculator step 2: Verify units and assumptions
Step 2 workflow overview for Paper Size & Sheet Cut Calculator.

Run and export your result

Select Calculate Sheet Yield & Layout, inspect the primary metric and breakdown cards, then use Copy result or Download result.txt.

Paper Size & Sheet Cut Calculator step 3: Run and export your result
Step 3 workflow overview for Paper Size & Sheet Cut Calculator.

Worked examples for Paper Size & Sheet Cut Calculator

Compare baseline and alternative runs for Paper Size & Sheet Cut Calculator before exporting the result.

Baseline example

Calculate how many smaller sheets or cards fit on a parent paper sheet (ISO A0-A4, SRA3, US Tabloid, or custom mm/in). Compare portrait, landscape, and mixed cut yields and waste %.

Paper Size & Sheet Cut Calculator example 1: Baseline example
Worked example 1 for Paper Size & Sheet Cut Calculator.

Comparison scenario

Usable Width W_u = W − 2×Margin, Usable Height H_u = H − 2×Margin; N_straight = floor((W_u + Gutter)/(w + Gutter)) × floor((H_u + Gutter)/(h + Gutter)); N_rotated = floor((W_u + Gutter)/(h + Gutter)) × floor((H_u + Gutter)/(w + Gutter)); Material Utilization % = (N_best × w × h) / (W × H) × 100.

Paper Size & Sheet Cut Calculator example 2: Comparison scenario
Worked example 2 for Paper Size & Sheet Cut Calculator.

Boundary check before exporting

Evaluates unrotated (Portrait/Aligned), 90°-rotated (Landscape/Cross-grain), and guillotine-compatible mixed strips, and generates an ASCII layout map plus standard ISO/ANSI sheet reference.

Paper Size & Sheet Cut Calculator example 3: Boundary check before exporting
Worked example 3 for Paper Size & Sheet Cut Calculator.

How to interpret the Paper Size & Sheet Cut Calculator output

Review the calculated output alongside your entered parameters and unit conventions.

Evaluates unrotated (Portrait/Aligned), 90°-rotated (Landscape/Cross-grain), and guillotine-compatible mixed strips, and generates an ASCII layout map plus standard ISO/ANSI sheet reference.

How to interpret Paper Size & Sheet Cut Calculator results
Result interpretation guide for Paper Size & Sheet Cut Calculator.

Pre-Press Imposition Verification Checklist

Confirm these three parameters before ordering parent stock.

Usable Width W_u = W − 2×Margin, Usable Height H_u = H − 2×Margin; N_straight = floor((W_u + Gutter)/(w + Gutter)) × floor((H_u + Gutter)/(h + Gutter)); N_rotated = floor((W_u + Gutter)/(h + Gutter)) × floor((H_u + Gutter)/(w + Gutter)); Material Utilization % = (N_best × w × h) / (W × H) × 100. Evaluates unrotated (Portrait/Aligned), 90°-rotated (Landscape/Cross-grain), and guillotine-compatible mixed strips, and generates an ASCII layout map plus standard ISO/ANSI sheet reference.

Scope limits and assumptions for Paper Size & Sheet Cut Calculator
Assumptions and input boundaries for Paper Size & Sheet Cut Calculator.

Paper Size & Sheet Cut Calculator: common questions

Answers about using Paper Size & Sheet Cut Calculator and understanding its results.

Why do commercial printers print on SRA3 (320 × 450 mm) instead of A3 (297 × 420 mm)?

An A3 sheet (297 × 420 mm) equals the exact trimmed area of two A4 pages (210 × 297 mm), leaving zero room for press gripper margins, crop marks, or full-bleed ink trim. SRA3 ('Supplementary Raw Format A', 320 × 450 mm) provides an extra 23 × 30 mm around the perimeter so two full-bleed A4 pages or 21 business cards can be printed and guillotine-trimmed cleanly.

How are gutter spacing and outer border margin handled in the cut formula?

First, the outer margin is subtracted from all four edges of the parent sheet: Usable Width W_u = W − 2×Margin and Usable Height H_u = H − 2×Margin. Because K pieces in a row require only (K − 1) internal gutters between them, the exact number of columns is floor((W_u + Gutter) / (w + Gutter)).

When should I avoid Mixed (Dutch-Cut) orientation on a press sheet?

A Mixed or 'Dutch-cut' layout rotates leftover strip columns by 90° to squeeze 1 or 2 extra cards out of the sheet margin. However, rotating pieces mixes paper grain direction (some cards fold with the grain, others across the grain) and requires complex multi-stage guillotine rotation. For folded brochures or heavy cardstock, stick to uniform Straight or Rotated orientation.

What is the √2 aspect ratio rule of ISO 216 (A0–A6) paper sizes?

Every ISO A-series and B-series sheet has an aspect ratio of 1 : √2 (≈ 1 : 1.4142). Halving the long side of an A0 sheet (841 × 1189 mm, area = 1.00 m²) produces two A1 sheets (594 × 841 mm) with the exact same aspect ratio, and each step down (A0 -> A1 -> A2 -> A3 -> A4 -> A5) doubles the sheet yield ($2^k$ pieces).

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