Board Foot Price to Linear Foot Price Calculator
Convert a lumber price quoted by the board foot into a clear price per linear foot using your actual thickness and width. This calculator is ideal for cabinetmakers, flooring buyers, trim suppliers, sawmills, woodworkers, and contractors who need fast pricing for materials sold in length-based units.
Fast conversion for hardwood, softwood, trim, slabs, and custom millingHow to Use a Board Foot Price to Linear Foot Price Calculator
A board foot price to linear foot price calculator helps you translate one of the most common lumber pricing systems into another one that is often easier to use during estimating, quoting, and purchasing. In many hardwood and specialty lumber markets, suppliers sell wood by the board foot. At the same time, many buyers think in terms of linear feet because trim runs, wall coverage, handrails, face frames, and shelf parts are planned by length. The gap between those two pricing methods is where mistakes often happen. If you know the board foot price, the thickness, and the width of the stock, you can convert the quote into a linear foot price very quickly.
The core idea is simple. A board foot is a unit of volume for lumber equal to a board that is 1 inch thick, 12 inches wide, and 1 foot long. That means one board foot contains 144 cubic inches of wood. A linear foot, by contrast, measures only length. Because a linear foot does not include width or thickness by itself, the linear foot price changes whenever the board dimensions change. A 1 x 4 priced at the same board foot rate as a 1 x 12 will cost much less per linear foot because each foot of the narrower board contains less wood.
Why This Conversion Matters in Real Projects
If you are sourcing hardwood for built-ins, stair treads, wall paneling, furniture parts, or architectural trim, your supplier may quote rough lumber at a board foot rate. But your plans may call for 90 linear feet of 1 x 6 material, 46 linear feet of 8-inch shelving, or a series of face-frame parts with specific lineal requirements. Without conversion, it is difficult to compare supplier quotes, budget accurately, or explain pricing to clients.
This calculator solves that by showing three useful outputs: the amount of board feet contained in one linear foot of your chosen board, the equivalent linear foot price, and the estimated cost for the total project length you enter. It also adds a waste allowance, which is especially important when selecting wood for grain, avoiding knots, or cutting around defects.
The Formula Explained
The board foot formula for a single board is:
Board feet = Thickness (inches) × Width (inches) × Length (feet) ÷ 12
If your length is exactly 1 foot, then the board feet in one linear foot becomes:
Board feet per linear foot = Thickness × Width ÷ 12
Once you know how many board feet are packed into each linear foot, the price per linear foot is just:
Linear foot price = Price per board foot × Board feet per linear foot
For example, suppose rough walnut is quoted at $8.50 per board foot and the stock you plan to use is 1 inch thick by 6 inches wide. One linear foot of that board contains:
- 1 × 6 ÷ 12 = 0.5 board feet per linear foot
- At $8.50 per board foot, the linear foot price is 0.5 × $8.50 = $4.25
If your project needs 12 linear feet, the base cost is $51.00. With a 10% waste allowance, the estimated purchase cost becomes $56.10.
Board Feet per Linear Foot for Common Lumber Sizes
The table below shows how much lumber volume is contained in one linear foot of common actual sizes. These values are directly calculated from the standard board foot formula and are useful for estimating without starting from scratch each time.
| Actual Thickness | Actual Width | Board Feet per Linear Foot | Interpretation |
|---|---|---|---|
| 1.00 in | 4.00 in | 0.3333 BF | Three linear feet equals about 1 board foot |
| 1.00 in | 6.00 in | 0.5000 BF | Two linear feet equals 1 board foot |
| 1.00 in | 8.00 in | 0.6667 BF | 1.5 linear feet equals 1 board foot |
| 1.00 in | 10.00 in | 0.8333 BF | About 1.2 linear feet equals 1 board foot |
| 1.00 in | 12.00 in | 1.0000 BF | One linear foot equals 1 board foot |
| 1.25 in | 6.00 in | 0.6250 BF | Useful for 5/4 decking and heavier stock |
| 1.50 in | 5.50 in | 0.6875 BF | Typical actual dimension for surfaced 2 x 6 stock |
| 2.00 in | 8.00 in | 1.3333 BF | One linear foot contains more than one board foot |
Example Linear Foot Prices at a Fixed Board Foot Rate
To illustrate how board dimensions affect pricing, the next table uses a sample board foot rate of $8.50. Notice how the linear foot cost rises with width and thickness, even though the board foot price stays constant.
| Price per Board Foot | Thickness x Width | Board Feet per Linear Foot | Linear Foot Price |
|---|---|---|---|
| $8.50 | 1 x 4 | 0.3333 | $2.83 |
| $8.50 | 1 x 6 | 0.5000 | $4.25 |
| $8.50 | 1 x 8 | 0.6667 | $5.67 |
| $8.50 | 1 x 10 | 0.8333 | $7.08 |
| $8.50 | 1 x 12 | 1.0000 | $8.50 |
| $8.50 | 5/4 x 6 | 0.6250 | $5.31 |
Nominal Size vs Actual Size
One of the biggest sources of error when converting board foot prices is using nominal dimensions instead of actual dimensions. In many retail softwood products, a nominal 2 x 6 does not actually measure 2 inches by 6 inches after surfacing and drying. It is commonly closer to 1.5 inches by 5.5 inches. Hardwood dealers may quote rough stock based on rough thicknesses like 4/4, 5/4, 6/4, and 8/4, while your finished dimensions after milling will be smaller. If you are paying on rough tally, use the rough dimensions in the conversion. If you are comparing final installed trim cost, use the surfaced dimensions that match what you will actually receive.
For custom millwork, this distinction matters even more. A board sold as 5/4 rough stock may finish at about 1 inch or slightly under depending on milling. The result is that your estimated linear foot price can shift enough to affect bids and margins. This calculator lets you enter exact thickness and width values so you are not locked into nominal assumptions.
When to Add Waste
Waste is not just scrap. In woodworking and carpentry, extra material may be consumed by end trimming, kerf loss, matching color and grain, cutting around knots or checks, ordering for future repairs, and selecting the best face for visible installations. Higher-end projects often require higher waste percentages because appearance standards are stricter.
- 5% to 8% can be reasonable for simple runs with minimal defects and straightforward cuts.
- 10% to 15% is common for cabinet parts, trim, and many interior projects.
- 15% to 25% may be necessary for highly figured hardwood, long clear stock, pattern matching, or complex layouts.
Best Uses for a Linear Foot Conversion
- Client proposals: Translate mill pricing into a per-foot number clients can understand.
- Supplier comparison: Compare two vendors that quote the same species and grade in different widths.
- Trim takeoffs: Estimate crown, casing, baseboard, handrail, and panel molding costs faster.
- Furniture estimating: Turn rough lumber pricing into a length-based cost for rails, stiles, aprons, and shelves.
- Inventory planning: Forecast what a run of custom stock will cost over standard lengths.
Practical Estimating Example
Imagine you need 84 linear feet of white oak face-frame material, surfaced to 1 inch thick and 2.5 inches wide, and your lumberyard quotes the stock at $9.20 per board foot. The board feet per linear foot would be 1 × 2.5 ÷ 12 = 0.2083. Multiply that by $9.20 and the linear foot price is about $1.92. For 84 linear feet, the base material cost is approximately $161.28. If you add 12% waste for grain selection and defects, your adjusted material budget becomes about $180.63. That one conversion immediately gives you a more useful number for estimating cabinet parts than the original board foot quote alone.
Common Mistakes to Avoid
- Using the wrong width: Always use the width of the board being priced, not the finished coverage if profiling removes material.
- Ignoring thickness changes: A 5/4 board and a 4/4 board at the same board foot rate do not cost the same per linear foot.
- Mixing rough and surfaced dimensions: Base the formula on how the supplier measures and bills the stock.
- Forgetting waste: Small estimating errors add up quickly on larger jobs.
- Assuming all species are priced the same: Board foot rates vary widely by species, grade, moisture content, and market conditions.
How the Chart Helps
The calculator includes a dynamic chart that shows how your total material cost scales across increasing project lengths. This is useful when planning phased orders or quoting several possible project sizes. Instead of recalculating manually at 5 feet, 10 feet, 15 feet, and 20 feet, you can visualize the relationship instantly. Because the formula is linear, the chart rises at a steady rate. The steeper the line, the more expensive each additional foot becomes. Wider and thicker stock creates a steeper line because each linear foot contains more board footage.
Technical References and Measurement Standards
If you want to understand wood measurement and dimensioning in more depth, it helps to review reference material from public agencies and universities. The U.S. Forest Service publishes extensive information on wood products, lumber use, and forest-derived materials. The Purdue University Extension and many other land-grant universities provide practical woodworking and building guidance, including dimensional lumber concepts and estimating practices. For standards and measurement fundamentals, the National Institute of Standards and Technology is also a valuable authority on unit consistency and measurement principles.
Final Takeaway
A board foot price to linear foot price calculator is one of the most useful tools for anyone who buys wood in one unit and builds from plans in another. By entering the board foot price, the board thickness, and the board width, you can instantly determine the true cost per linear foot of the stock you need. That makes budgeting easier, quoting more transparent, and purchasing more accurate. Whether you are ordering hardwood for a custom kitchen, comparing trim suppliers for a renovation, or estimating material for a furniture run, this conversion gives you the practical pricing number that most projects actually depend on.
Use actual dimensions whenever possible, include a realistic waste factor, and make the conversion part of your normal takeoff workflow. Doing so helps you avoid underbidding, overordering, and confusing cost assumptions. In short, it turns a lumberyard quote into a project-ready number.