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Difficulty: EasyLumber and Engineered Wood

A carpenter is calculating material quantities for a framing project. What is the total number of board feet in a single piece of lumber measuring 2 inches2\text{ inches} thick, 6 inches6\text{ inches} wide, and 10 feet10\text{ feet} long?

Answer: 10 board feet

Answer

10 board feet
The correct answer is 10 board feet. Applying the standard trade formula Board Feet=Thickness (in.)×Width (in.)×Length (ft.)12\text{Board Feet} = \frac{\text{Thickness (in.)} \times \text{Width (in.)} \times \text{Length (ft.)}}{12} gives 2×6×1012=12012=10 board feet\frac{2 \times 6 \times 10}{12} = \frac{120}{12} = 10\text{ board feet}.

Step-by-Step Solution

1
State the standard board foot calculation formula when length is measured in feet.
Board Feet=Thickness (inches)×Width (inches)×Length (feet)12\text{Board Feet} = \frac{\text{Thickness (inches)} \times \text{Width (inches)} \times \text{Length (feet)}}{12}
One board foot represents a volume of 144 cubic inches (equivalent to a board 1 inch thick, 12 inches wide, and 1 foot long).
2
Substitute thickness = 2 in., width = 6 in., and length = 10 ft into the formula.
Board Feet=2×6×1012=12012\text{Board Feet} = \frac{2 \times 6 \times 10}{12} = \frac{120}{12}
Calculates the total cross-sectional area and length ratio to convert to board feet.
3
Divide 120 by 12.
10 board feet
Completes the arithmetic evaluation.

Key Concept

Calculating board footage of dimensional lumber
Estimated Time:45s
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Topics

Lumber and Engineered Wood

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