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Difficulty: MediumLumber and Engineered Wood

An outdoor construction project requires 15 pieces of lumber, each having nominal dimensions of 2 inches2\text{ inches} thick, 8 inches8\text{ inches} wide, and 12 feet12\text{ feet} long. What is the total number of board feet in these 15 pieces of lumber?

Answer: 240 board feet

Answer

240 board feet
The total board footage is calculated with the formula Board Feet=Thickness (in)×Width (in)×Length (ft)12×Quantity\text{Board Feet} = \frac{\text{Thickness (in)} \times \text{Width (in)} \times \text{Length (ft)}}{12} \times \text{Quantity}. Substituting the given project dimensions yields 2×8×1212×15=16×15=240 board feet\frac{2 \times 8 \times 12}{12} \times 15 = 16 \times 15 = 240\text{ board feet}.

Step-by-Step Solution

1
Calculate the board feet for a single board using nominal thickness and width in inches and length in feet
16 board feet per piece
One board foot is defined as the volume of a board 1 inch thick, 12 inches wide, and 1 foot long. Applying the formula BF=Thickness (in)×Width (in)×Length (ft)12\text{BF} = \frac{\text{Thickness (in)} \times \text{Width (in)} \times \text{Length (ft)}}{12} gives 2×8×1212=16 BF\frac{2 \times 8 \times 12}{12} = 16\text{ BF}.
2
Multiply the board footage per board by the total number of boards required
240 board feet
The total volume for 15 identical pieces is determined by multiplying: 16×15=240 BF16 \times 15 = 240\text{ BF}.

Key Concept

Calculating board footage for multiple pieces of lumber using standard nominal dimension formulas

Alternative Method

Convert length to inches, compute total cubic inches for all 15 boards, and divide by 144 cubic inches per board foot: 2 in×8 in×144 in×15144=240 board feet\frac{2\text{ in} \times 8\text{ in} \times 144\text{ in} \times 15}{144} = 240\text{ board feet}.
Estimated Time:1m 0s
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Topics

Lumber and Engineered Wood

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