Question

Directions: Compute the number of board feet of lumber with the following dimensions.

1. 4"x 8"x 12"

2. 3"x 2"x 10"

3. 2" x 4" x 12"

4. 2" x 2" x 8"

5. 4" x 4" x 10"

Answer 1

To compute the number of board feet of lumber, we need to first convert the dimensions to feet and then calculate the volume in cubic feet.

Recall that a board foot is a unit of volume equal to 1 foot by 1 foot by 1 inch, or 1/12 cubic foot.

1. 4" x 8" x 12" = (4/12) ft x (8/12) ft x (12/12) ft = 0.222 cubic feet. Therefore, the number of board feet is 0.222 / (1/12) = 2.664 board feet.

2. 3" x 2" x 10" = (3/12) ft x (2/12) ft x (10/12) ft = 0.042 cubic feet. Therefore, the number of board feet is 0.042 / (1/12) = 0.504 board feet.

3. 2" x 4" x 12" = (2/12) ft x (4/12) ft x (12/12) ft = 0.167 cubic feet. Therefore, the number of board feet is 0.167 / (1/12) = 2.004 board feet.

4. 2" x 2" x 8" = (2/12) ft x (2/12) ft x (8/12) ft = 0.022 cubic feet. Therefore, the number of board feet is 0.022 / (1/12) = 0.264 board feet.

5. 4" x 4" x 10" = (4/12) ft x (4/12) ft x (10/12) ft = 0.111 cubic feet. Therefore, the number of board feet is 0.111 / (1/12) = 1.332 board feet.

Therefore, the number of board feet for each dimension are as follows:

1. 2.664 board feet
2. 0.504 board feet
3. 2.004 board feet
4. 0.264 board feet
5. 1.332 board feet

Answer 2

4.) 32 answer

Explanation:

2×2 is 4

4× 8 is 32