### Calculating the Number of Board Feet in a Consignment of Lumber

Occasionally it is necessary to calculate the number of board feet in a pile of lumber. The key to the problem is knowing that a board foot is 1′ (long) x 1′ (wide) x **1″** (high). In other words in every cubic foot of lumber (1′ x 1′ x 1′), there are 12 board feet; the cubic foot makes twelve 1-inch slices of wood.

You are to load a consignment of lumber. Each piece measures 2- inches thick, 10-inches wide and 16-feet long. There are 30,000 pieces in the shipment. How many board feet would be listed on the Bill of Lading? |

A. 800,000 |

B. 1,200,000 |

C. 1,440,000 |

D. 14,400,000 |

Answer: A |

- Convert dimensions to feet: 2″ = 2/12 ‘ = 0.16666 feet; 10″ = 10/12’ = 0.83333 feet
- Multiply the dimensions to find the cubic feet of one piece of lumber:

0.166666′ x 0.833333′ x 16 = 2.22 cubic feet. - Each cubic foot equals 12 board feet, so one piece of lumber = 2.22 x 12 = 26.6667 board feet.
- There are 30,000 pieces of lumber, so the board feet of the whole consignment =

26.7 x 30,000 = 799,964 board feet. Closest answer is (A)

Alternatively, the calculation can be reduced to:

- Multiplying 2″ x 10″ x 16 feet and dividing the answer by 12. This gives the number of board feet in one piece of lumber. (2 x 10 x 16) ÷ 12 = 26.6667 board feet
- Multiplying 26.6667 x 30,000 = 800,000 board feet

You are to load a consignment of lumber. Each piece measures 3- inches thick, 12-inches wide and 16-feet long. There are 30,000 pieces in the shipment. How many board feet would be listed on the Bill of Lading? |

A. 96,000 |

B. 1,200,000 |

C. 1,440,000 |

D. 14,440,000 |

Answer: C |

- (3″ x 12″ x 16′) ÷ 12 = 48 board feet per piece of lumber
- 48 x 30,000 pieces of lumber = 1,440,000 board feet of lumber, Answer (C).