How many board feet are in a 2" x 4" x 8' stud?

How many board feet are in a 2" x 4" x 8' stud?

• A. 4.5 bd. ft.
• B. 5.333 bd. ft.
• C. 6 bd. ft.
• D. 7 bd. ft.

Answer: (B)

To determine the number of board feet in a stud that measures 2 inches by 4 inches by 8 feet, you first need to use the formula for calculating board feet, which is: \[ \text{Board Feet} = \left(\frac{\text{Thickness (inches)} \times \text{Width (inches)} \times \text{Length (feet)}}{12}\right) \] In this case, the thickness is 2 inches, the width is 4 inches, and the length is 8 feet. Plugging these values into the formula: 1. Multiply the thickness by the width and the length: \[ 2 \, \text{inches} \times 4 \, \text{inches} \times 8 \, \text{feet} = 64 \] 2. Then, divide by 12 to convert into board feet: \[ \frac{64}{12} = 5.333... \, \text{bd. ft.} \] This calculation provides the correct number of board feet in the stud, which is approximately 5.333 board feet. Hence, the correct answer is 5.333 bd.

To determine the number of board feet in a stud that measures 2 inches by 4 inches by 8 feet, you first need to use the formula for calculating board feet, which is:

[ \text{Board Feet} = \left(\frac{\text{Thickness (inches)} \times \text{Width (inches)} \times \text{Length (feet)}}{12}\right) ]

In this case, the thickness is 2 inches, the width is 4 inches, and the length is 8 feet. Plugging these values into the formula:

1. Multiply the thickness by the width and the length:

[ 2 , \text{inches} \times 4 , \text{inches} \times 8 , \text{feet} = 64 ]

2. Then, divide by 12 to convert into board feet:

[ \frac{64}{12} = 5.333... , \text{bd. ft.} ]

This calculation provides the correct number of board feet in the stud, which is approximately 5.333 board feet. Hence, the correct answer is 5.333 bd.