Scrapbook Paper Calculator
How many sheets a project needs, and which way round to cut them for the least waste.
https://calculators.nirajiitr.com/hobbies/scrapbook-paper-calculator
How it works
Only whole pieces come off a sheet, so every division rounds down — a sheet that fits 2.8 pieces across fits two, and the remainder is offcut. The reason for computing it twice is that rotating the piece ninety degrees often changes the answer: five-inch pieces from a twelve-inch sheet give two with a wide strip wasted, while four-inch pieces give three with nothing left over. The calculator takes whichever orientation wins.
per sheet = max(floor(W/w) × floor(H/h), floor(W/h) × floor(H/w))- W, H
- Sheet width and height
- w, h
- Piece width and height
- floor
- Round down — part of a piece is no use
- waste
- Sheet area bought, minus the area actually used
Worked example
Forty 4×6 inch mats cut from 12×12 inch cardstock.
- 1Upright: floor(12/4) × floor(12/6) = 3 × 2 = 6 per sheet
- 2Rotated: floor(12/6) × floor(12/4) = 2 × 3 = 6 per sheet — the same, for this pair
- 340 pieces ÷ 6 per sheet = 6.67, so 7 sheets
- 47 sheets × 144 sq in = 1008 bought; 40 × 24 = 960 actually used
Seven sheets, with two spare pieces and under 5% waste.
Frequently asked questions
Does this account for the trimmer blade?
No. A guillotine or rotary trimmer removes a fraction of a millimetre per cut, which is negligible for paper craft at these sizes — unlike sawing timber, where the kerf genuinely eats material. If you are cutting many pieces from one sheet to tight tolerances, add a sheet for safety rather than trying to model the blade.
Why does rotating the piece change how many fit?
Because both dimensions round down independently. A 12-inch sheet takes two 5-inch pieces with 2 inches wasted, but three 4-inch pieces with nothing wasted. Swapping which dimension runs along which edge changes where those remainders land, and the difference can easily be a third of the sheet. It is the single easiest saving in any cutting plan.
Can I nest odd shapes to fit more in?
Not in this calculator, which assumes straight edge-to-edge cuts across the full sheet. Curved or irregular die-cut shapes can often be nested far more tightly, and a cutting machine will arrange them for you automatically. Treat this as the figure for rectangular pieces cut on a trimmer.
How much spare paper should I buy?
The calculator already tells you how many spare pieces fall out of rounding up, which is usually enough to absorb one mistake. For patterned paper it is worth buying an extra sheet regardless — print runs vary between batches, and matching a pattern months later is often impossible. Plain cardstock is much easier to top up.