What is the total board footage for 28 pieces of 2" x 4" x 8' lumber?

To calculate the total board footage for 28 pieces of lumber, you first need to determine the board footage for a single piece of the given size, which is 2 inches by 4 inches by 8 feet.

Board footage is calculated using the formula:

[

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

]

Substituting the values for one piece:

• Thickness = 2 inches

• Width = 4 inches

• Length = 8 feet

Calculating the board footage for one piece:

[

\text{Board Feet} = \frac{2 \times 4 \times 8}{12} = \frac{64}{12} = 5.33 , \text{bd. ft.}

]

Now, since there are 28 pieces, you multiply the board footage of one piece by the total number of pieces:

[

\text{Total Board Feet} = 5.33 \times 28 \approx 149.32 , \text{bd. ft.}

]

This calculation shows that the total board