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Woodshop Math

Project plan · Workshop

Laminated-Top 2×4 Workbench: Board-Foot Takeoff and Cut List

A 72 × 24 in bench with a top laminated from 16 2×4s on edge, doubled 2×4 legs and a low stretcher frame, cut from 20 standard 8 ft boards.

AUSV Systems

Calculated plan · Last updated

frontend72 in24 in34 in
Difficulty
Intermediate
Time
2 days
Top
72 × 24 in
Stock
20 × 2×4 × 8 ft
Est. cost
≈ $114

Cut list

PartQtySize L × W × T (in)Material / source
Top laminationGlued face to face, standing on edge1672 × 3½ × 1½2×4 (1½ × 3½ in)8 ft 2×4
Leg halfGlued in pairs to make four 3 × 3½ in legs830½ × 3½ × 1½2×4 (1½ × 3½ in)8 ft 2×4
Long stretcherLow rails joining the two end frames260 × 3½ × 1½2×4 (1½ × 3½ in)8 ft 2×4
End stretcherUpper and lower rails of each end frame417 × 3½ × 1½2×4 (1½ × 3½ in)8 ft 2×4

Kerf allowance: 3 mm (about ⅛ in) per cut.

Layout

× 4Top lamination72 inEnd stretcher17 inoffcut 6⅞ in× 12Top lamination72 inoffcut 24 in× 2Long stretcher60 inLeg half30½ inoffcut 5⅜ in× 2Leg half30½ inLeg half30½ inLeg half30½ inoffcut 4¼ in
20 × 2×4 × 8 ft, allocated by the Cut List Optimizer. Hatched area is offcut.

Board-foot takeoff

Nominal 2 × 4 in, the basis lumberyards use for pricing.

BlankQtyT × W × L (in)Board feet
Top lamination162 × 4 × 7264
Leg half82 × 4 × 30½13.56
Long stretcher22 × 4 × 606.67
End stretcher42 × 4 × 173.78
Total88

How the numbers were checked

Cut-list volume
88 nominal board feet in the finished parts.
Purchased volume
20 boards × 5.33 = 106.67 nominal board feet, including offcuts.
Stock allocation
Cut List Optimizer, first-fit by length with a 3 mm kerf: 20 boards of 96 in.

Build steps

Assumptions

  • Unit prices are assumed 2026 retail figures in US dollars for illustration only, not supplier quotes. Replace them with local prices before budgeting.
  • Dressed 2×4 dimensions are the PS 20-20 minimum of 1½ × 3½ in; measure your stock, as boards vary by supplier and moisture.
  • Kerf is 3 mm per cut. Allocation does not allow for removing defects or end checks, so buy one or two spare boards if the stock is poor.

Safety and scope

  • Clamp work securely and keep hands clear of blades when cutting short pieces such as the end stretchers.
  • This is a planning estimate. Verify measurements and material condition before buying or cutting.
  • Planning estimates only — verify before you buy or build. Read the disclaimer.
Quantity basis for each material
2×4 stud-grade lumber, 8 ft
Board count from the cut list optimizer allocation below.
PVA wood glue, 1 US quart
Fifteen glue lines in the top plus four leg laminations.
3½ in structural wood screws, box of 50
24 screws for 12 stretcher joints (2 each) plus 8 through the upper end stretchers into the top.