Rectangular Sheet Cutting Yield Calculator

How the rectangular sheet cutting yield calculator works

Subtract total edge trims from each stock dimension. In each uniform grid, axis count = floor(usable axis ÷ (blank axis + full per-blank kerf allowance)); multiply axis counts. The rotated grid swaps blank dimensions. Use the largest allowed grid yield and round required blanks divided by yield up to whole sheets.

This conservative rule reserves a full kerf after every blank in each direction, including factory-edge cases. It can understate physically achievable yield. No mixed-layout nesting, cutting sequence or offcut reuse is optimized. Purchased area minus required blank area is unused purchase area, not automatically scrap. Positive demand with zero grid yield is infeasible.

Quantities use the stated units and finite bounded inputs. Whole purchases round up under the documented model; cost components round half-up to cents before totals are summed. Undefined ratios stay unavailable. π and logarithms use normal numeric precision. Display rounding does not alter the entered assumptions.

Worked example

A 2,000 × 1,000 mm sheet and 400 × 300 mm blank with 5 mm per-axis kerf gives 12 blanks in either uniform orientation. Thirty blanks need three sheets at 50, or 150. Thirty-seven blanks need four sheets, costing 200.

Sources and assumptions

The source material explains the underlying calculation or pricing structure. Entered prices, costs, schedules and scenario choices are your assumptions; this tool does not obtain supplier quotes or predict actual results.

• OpenStax University Physics: density as mass per volume