What is the total board feet of a stack containing 21 pieces of 16' long, 12 pieces of 14' long, and 10 pieces of 12' long 2 x 8s?

To calculate the total board feet from the stack of lumber, the formula to use is:

[ \text{Board Feet} = \left( \frac{\text{Thickness (inches)} \times \text{Width (inches)} \times \text{Length (feet)}}{12} \right) \times \text{Number of pieces} ]

For the 2 x 8 lumber:

• Thickness = 2 inches

• Width = 8 inches

Now, let's calculate the board feet for each size of lumber:

1. For the 21 pieces of 16' long 2 x 8s:

• Length = 16 feet

• Board Feet = (\frac{2 \times 8 \times 16}{12} = \frac{256}{12} = 21.33 \text{ bd. ft.})

• Total for 21 pieces = (21.33 \times 21 = 448 \text{ bd. ft.})

2. For the 12 pieces of 14' long 2 x 8s:

• Length = 14 feet

• Board Feet = (\frac{2 \times 8