Board Foot

Overview

Engineering reference data for Board Foot in miscellaneous.

Key Formulas

Unit Conversion

$y = x \cdot k$

Multiply by conversion factor.

Linear Interpolation

$y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}$

Estimate between two known points.

Percentage

$p = \frac{\text{part}}{\text{whole}} \times 100\%$

Part as fraction of whole.

Variables

References

• Original Source

Quick Approximations for Board Feet

For common lumber dimensions, these approximations allow quick estimation of board feet without full calculation. Based on nominal sizes:

• 1" × 4": Board feet = $\frac{\text{length (ft)}}{3}$
• 1" × 6": Board feet = $\frac{\text{length (ft)}}{2}$
• 1" × 8": Board feet = $\text{length (ft)} \times \frac{2}{3}$
• 1" × 12": Board feet = $\text{length (ft)} \times 1$
• 2" × 4": Board feet = $\text{length (ft)} \times \frac{2}{3}$
• 2" × 6": Board feet = $\text{length (ft)} \times 1$
• 2" × 8": Board feet = $\text{length (ft)} \times \frac{4}{3}$
• 2" × 12": Board feet = $\text{length (ft)} \times 2$

These are derived from the formula $BF = \frac{t \times w_{in} \times L}{12}$ and assume standard lumber dimensions. For precise calculations, use the full formula.

Board Foot Formula in LaTeX

The formula for calculating board feet (BF) is expressed as:

$BF = \frac{t \times w_{in} \times L}{12}$

Where $t$ is the nominal thickness in inches, $w_{in}$ is the nominal width in inches, and $L$ is the length in feet. This can also be written as:

$BF = t \times w_{ft} \times L$

Where $w_{ft}$ is the width in feet.

Example Calculation

For a lumber piece with dimensions 3 inches (thickness) × 2 inches (width) × 12 feet (length):

$BF = \frac{3 \times 2 \times 12}{12} = 6 \text{ board feet}$

Board Foot Unit Conversions

One board foot is equivalent to the following volumes: