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The formula used to calculate board feet is:

\[ \text{Total Board Feet} = \frac{\text{Length (ft)} \times \text{Width (in)} \times \text{Thickness (in)}}{12} \]

The formula used to calculate price per board foot is:

\[ \text{Price per Board Foot} = \frac{\text{Total Cost}}{\text{Total Board Feet}} \]

This calculator converts the dimensions of lumber in feet and inches to board feet and calculates the price per board foot based on the total cost.

Steps to calculate the price per board foot:

- Enter the length of the lumber in feet.
- Enter the width of the lumber in inches.
- Enter the thickness of the lumber in inches.
- Enter the total cost of the lumber.
- The formula calculates the total board feet and the price per board foot.

Let's assume the following values:

- Length = 10 feet
- Width = 6 inches
- Thickness = 2 inches
- Total Cost = $120

Using the formula:

\[ \text{Total Board Feet} = \frac{10 \times 6 \times 2}{12} = 10 \text{ BF} \]

\[ \text{Price per Board Foot} = \frac{120}{10} = 12 \text{ USD/BF} \]

Length (ft) | Width (in) | Thickness (in) | Total Cost ($) | Total Board Feet (BF) | Price per Board Foot ($/BF) |
---|---|---|---|---|---|

5 | 6 | 2 | 120 | 5.00 | 24.00 |

10 | 6 | 2 | 120 | 10.00 | 12.00 |

15 | 6 | 2 | 120 | 15.00 | 8.00 |

20 | 6 | 2 | 120 | 20.00 | 6.00 |

25 | 6 | 2 | 120 | 25.00 | 4.80 |

30 | 6 | 2 | 120 | 30.00 | 4.00 |

35 | 6 | 2 | 120 | 35.00 | 3.43 |

40 | 6 | 2 | 120 | 40.00 | 3.00 |

45 | 6 | 2 | 120 | 45.00 | 2.67 |

50 | 6 | 2 | 120 | 50.00 | 2.40 |