If the quoted price for lumber is $800 per thousand board feet, what would be the cost of nine 2" x 8" x 10' pieces and one 2" x 12" x 10' piece?

To determine the cost of the lumber needed, it’s essential to first calculate the total board footage for the pieces required and then convert that amount into thousands of board feet, as the price is quoted per thousand board feet.

1. Calculate the board footage for each piece of lumber:

• For the nine 2" x 8" x 10' pieces:

• The formula for calculating board feet is: (Thickness in inches × Width in inches × Length in feet) / 12.

• For one piece: (2 × 8 × 10) / 12 = 13.33 board feet.

• For nine pieces: 9 × 13.33 = 120 board feet.

• For the one 2" x 12" x 10' piece:

• Using the same formula: (2 × 12 × 10) / 12 = 20 board feet.

2. Calculate total board footage:

• Total for all pieces: 120 board feet (from nine 2" x 8") + 20 board feet (from one 2" x 12") = 140 board feet.

3. **Convert to thousands of board