Sheet Nesting Yield
How many rectangular blanks fit a sheet with kerf and margin, either orientation plus a rotated strip on the leftover — yield, scrap and sheets for a quantity.
The best of the two orientations with block and strip counts, a layout drawing, yield and scrap percentages, and the number of sheets and the part-filled last sheet for your quantity.
Example: 400 × 300 blanks on a 2500 × 1250 sheet with 2 mm kerf and 10 mm margins: 6 × 4 = 24 per sheet either way, 92.2 % yield; 100 blanks need 5 sheets with 4 on the last.
A rectangle nest,
counted honestly.
What the block-and-strip layout does, and why the count is a floor.
Block and strip
The margin is taken off every edge, then blanks are laid in a block: ⌊(usable + kerf) ÷ (blank + kerf)⌋ along and across — each blank needs its length plus one kerf, except the last. The leftover strip (along the length or the width, whichever holds more) is filled with blanks turned 90°. Both orientations of the blank are tried unless grain fixes it, and the better one wins.
Yield and sheets
Yield = blanks × blank area ÷ full sheet area, so margins and kerf count as scrap. For a quantity, sheets = ⌈quantity ÷ blanks per sheet⌉ and the last sheet’s blank count is shown so you can see how much of it is left.
A floor
This is a guillotine-style heuristic, not an optimiser: mixed orientations, interlocking or common-line cutting on a laser can sometimes fit more. Treat the count as what a simple layout guarantees and check it against your nesting software for the real job. Nothing leaves the browser; the same four anonymous usage counts as the rest of the site apply.
SOURCES
- Block-and-strip guillotine layout: ⌊(usable + kerf) ÷ (blank + kerf)⌋ each way, leftover strip filled with rotated blanks; yield = blanks × blank area ÷ sheet area — a lower bound, not an optimiser
Last reviewed 20 September 2026. How results are checked: How we verify.