Landscaping License Practice Test

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?

1. $112

2. $144

3. $176

4. $200

The correct answer is: $112

To determine the correct cost based on the quoted price for lumber, it's important to first translate the dimensions of the lumber into board feet and then calculate the total cost based on the given price. The board foot measurement is calculated using the formula: \[ \text{Board Feet} = \frac{(Width \times Thickness \times Length)}{12} \] For the pieces in this question: 1. **Calculating for the nine 2" x 8" x 10' pieces:** - Each piece has dimensions 2” (width) x 8” (height) x 10’ (length). - First, convert the dimensions into feet: Width = 2/12 = 0.167 ft, Height = 8/12 = 0.667 ft, Length = 10 ft. - Board feet for one piece: \[ \frac{(0.167 \, \text{ft} \times 0.667 \, \text{ft} \times 10 \, \text{ft})}{12} = 1.39 \, \text{board feet} \] - For nine pieces: \