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A piece of lumber 4" x 4" x 6' is how many board feet?

  1. 6

  2. 8

  3. 10

  4. None of the above

The correct answer is: 6

To determine the number of board feet in a piece of lumber, you can use the formula: \[ \text{Board Feet} = \frac{\text{Thickness (inches)} \times \text{Width (inches)} \times \text{Length (feet)}}{12} \] In this case, the dimensions of the lumber are 4 inches (thickness) by 4 inches (width) by 6 feet (length). Plugging the values into the formula: - Thickness = 4 inches - Width = 4 inches - Length = 6 feet Calculating the volume in board feet: \[ \text{Board Feet} = \frac{4 \times 4 \times 6}{12} \] \[ = \frac{96}{12} \] \[ = 8 \] Therefore, the correct calculation shows that the piece of lumber measures 8 board feet. This aligns with one of the answer choices, indicating that option B is the correct response.