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Woodworking Math Center

Lumber, cut lists, panels, joints, shop costs and project planning. 50 tools with purposes, formulas and worked examples.

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Formula, calculation steps & example

All 50 tools: purposes and formulas

Rough board metric volume — Rough board metric volume using your entered measurements and assumptions.
Result = (((A × B) × C) ÷ 1000000000); A = Length mm, B = Width mm, C = Thickness mm
Board mass from measured density — Board mass from measured density using your entered measurements and assumptions.
Result = (A × B); A = Volume m³, B = Density kg/m³
Sheet panel mass — Sheet panel mass using your entered measurements and assumptions.
Result = (((A × B) × C) × D); A = Length m, B = Width m, C = Thickness m, D = Density kg/m³
Rectangular panel edge banding — Rectangular panel edge banding using your entered measurements and assumptions.
Result = (((A + B) × 2) × C); A = Length m, B = Width m, C = Number of identical panels
Panel face veneer area — Panel face veneer area using your entered measurements and assumptions.
Result = (((A × B) × C) × D); A = Panel length m, B = Panel width m, C = Faces per panel, D = Panel count
Board broad-face finishing area — Board broad-face finishing area using your entered measurements and assumptions.
Result = (((A × B) × C) × D); A = Board length m, B = Board width m, C = Face count, D = Board count
Board price per meter — Board price per meter using your entered measurements and assumptions.
Result = (A ÷ B); A = Board price, B = Board length m
Panel price per area — Panel price per area using your entered measurements and assumptions.
Result = (A ÷ (B × C)); A = Panel price, B = Panel length m, C = Panel width m
Planing material thickness removed — Planing material thickness removed using your entered measurements and assumptions.
Result = (A - B); A = Starting thickness mm, B = Finished thickness mm
Planed material volume — Planed material volume using your entered measurements and assumptions.
Result = (((A × B) × C) ÷ 1000000); A = Length mm, B = Width mm, C = Removed thickness mm
Equal slat width with gaps — Equal slat width with gaps using your entered measurements and assumptions.
Result = ((A - ((B - 1) × C)) ÷ B); A = Opening width mm, B = Number of slats, C = Gap mm
Equal gaps between slats — Equal gaps between slats using your entered measurements and assumptions.
Result = ((A - (B × C)) ÷ (B - 1)); A = Opening width mm, B = Slat count, C = Slat width mm
Total saw kerf consumption — Total saw kerf consumption using your entered measurements and assumptions.
Result = (A × B); A = Kerf mm, B = Cuts
Linear cut-list stock length — Linear cut-list stock length using your entered measurements and assumptions.
Result = ((A × B) + ((B - 1) × C)); A = Piece length mm, B = Piece count, C = Kerf mm
Equal-piece stock yield — Equal-piece stock yield using your entered measurements and assumptions.
Result = floor(((A + C) ÷ (B + C))); A = Usable stock length mm, B = Piece length mm, C = Kerf mm
Usable stock after end trimming — Usable stock after end trimming using your entered measurements and assumptions.
Result = (A - (B × 2)); A = Stock length mm, B = Trim per end mm
Linear cut-list waste share — Linear cut-list waste share using your entered measurements and assumptions.
Result = ((A ÷ B) × 100); A = Unused length mm, B = Purchased length mm
Inset rail length between stiles — Inset rail length between stiles using your entered measurements and assumptions.
Result = (A - (B × 2)); A = Overall width mm, B = Stile width mm
Rail length including two tenons — Rail length including two tenons using your entered measurements and assumptions.
Result = (A + (B × 2)); A = Shoulder-to-shoulder length mm, B = Tenon length each mm
Panel diagonal layout — Panel diagonal layout using your entered measurements and assumptions.
Result = sqrt(((A ^ 2) + (B ^ 2))); A = Panel length mm, B = Panel width mm
Centered fitting edge margin — Centered fitting edge margin using your entered measurements and assumptions.
Result = ((A - B) ÷ 2); A = Panel width mm, B = Fitting width mm
Equal shelf clear opening — Equal shelf clear opening using your entered measurements and assumptions.
Result = ((A - (B × C)) ÷ (B + 1)); A = Inside height mm, B = Shelf count, C = Shelf thickness mm
Evenly spaced hole interval — Evenly spaced hole interval using your entered measurements and assumptions.
Result = (A ÷ (B - 1)); A = First-to-last hole span mm, B = Hole count
Cylindrical dowel volume — Cylindrical dowel volume using your entered measurements and assumptions.
Result = ((π × (A ^ 2)) × B); A = Dowel radius mm, B = Length mm
Dowel batch mass — Dowel batch mass using your entered measurements and assumptions.
Result = ((A × B) × C); A = Single dowel volume cm³, B = Density g/cm³, C = Dowel count
Straight rabbet removed volume — Straight rabbet removed volume using your entered measurements and assumptions.
Result = (((A × B) × C) ÷ 1000); A = Length mm, B = Width mm, C = Depth mm
Straight groove removed volume — Straight groove removed volume using your entered measurements and assumptions.
Result = (((A × B) × C) ÷ 1000); A = Length mm, B = Width mm, C = Depth mm
Square corner diagonal cut width — Square corner diagonal cut width using your entered measurements and assumptions.
Result = (A × sqrt(2)); A = Board width mm
Regular frame joint half-angle — Regular frame joint half-angle using your entered measurements and assumptions.
Result = (180 ÷ A); A = Polygon side count
Board taper angle — Board taper angle using your entered measurements and assumptions.
Result = ((atan((A ÷ B)) × 180) ÷ π); A = Width change mm, B = Taper run mm
Finish volume from label coverage — Finish volume from label coverage using your entered measurements and assumptions.
Result = ((A × B) ÷ C); A = Finish area m², B = Coat count, C = Label coverage m²/L
Finish containers needed — Finish containers needed using your entered measurements and assumptions.
Result = ceil((A ÷ B)); A = Required finish L, B = Container size L
Glue cost from measured use — Glue cost from measured use using your entered measurements and assumptions.
Result = ((A ÷ 1000) × B); A = Measured glue use grams, B = Glue price per kg
Estimated clamp station count — Estimated clamp station count using your entered measurements and assumptions.
Result = (ceil((A ÷ B)) + 1); A = Glue line length mm, B = Planned spacing mm
Fasteners at planned stations — Fasteners at planned stations using your entered measurements and assumptions.
Result = ((A × B) × C); A = Stations per assembly, B = Fasteners per station, C = Assemblies
Hinge hardware budget — Hinge hardware budget using your entered measurements and assumptions.
Result = ((A × B) × C); A = Doors, B = Hinges per door, C = Cost per hinge
Drawer width after side clearances — Drawer width after side clearances using your entered measurements and assumptions.
Result = (A - (B × 2)); A = Opening width mm, B = Required clearance per side mm
Drawer bottom rectangular area — Drawer bottom rectangular area using your entered measurements and assumptions.
Result = ((A × B) ÷ 1000000); A = Bottom length mm, B = Bottom width mm
Circular tabletop area — Circular tabletop area using your entered measurements and assumptions.
Result = (π × (A ^ 2)); A = Table radius m
Circular tabletop edge band length — Circular tabletop edge band length using your entered measurements and assumptions.
Result = (π × A); A = Table diameter m
Project labor budget — Project labor budget using your entered measurements and assumptions.
Result = (A × B); A = Work hours, B = Hourly cost
Project material subtotal — Project material subtotal using your entered measurements and assumptions.
Result = ((A + B) + C); A = Lumber cost, B = Hardware cost, C = Finish cost
Project shop overhead allocation — Project shop overhead allocation using your entered measurements and assumptions.
Result = ((A ÷ B) × C); A = Monthly overhead, B = Monthly billable hours, C = Project hours
Project quote with markup — Project quote with markup using your entered measurements and assumptions.
Result = (A × (1 + (B ÷ 100))); A = Project cost, B = Markup %
Shop tool electricity use — Shop tool electricity use using your entered measurements and assumptions.
Result = ((A × B) ÷ 1000); A = Average measured watts, B = Run hours
Abrasive budget — Abrasive budget using your entered measurements and assumptions.
Result = (A × B); A = Sheets used, B = Cost per sheet
Repeated assembly work time — Repeated assembly work time using your entered measurements and assumptions.
Result = ((A × B) + C); A = Minutes per unit, B = Units, C = Setup minutes
Batch labor per unit — Batch labor per unit using your entered measurements and assumptions.
Result = ((A ÷ B) × 60); A = Batch labor hours, B = Units completed
Finished wood volume yield — Finished wood volume yield using your entered measurements and assumptions.
Result = ((A ÷ B) × 100); A = Finished volume L, B = Purchased volume L
Reusable offcut inventory value — Reusable offcut inventory value using your entered measurements and assumptions.
Result = (A × B); A = Reusable offcut length m, B = Replacement cost per m

Definitions and source references

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