There are a couple paths to take with this question as presented.
Path one is the simpler, what is the total linear feet of boards.
What is known?
Number of pieces = 170
All pieces are identical and have the dimension 1 in thick x 8 in wide x 14 in long.
The total length will be 170 x 14 inches = 2380 inches
To get the total length in feet, convert the 2380 inches to feet.
The conversion is 12 inches = 1 foot or 12 in/ft.
To convert, divide the inches by 12: 2380/12 = 198.33 ft
To check the answer, you can determine the length of one piece of wood by converting
14 inches to ft: 14/12 = 1.667 ft,
Then multiply 1.667 x 170 pieces = 198.33.
Not clear by the question is if the a lumber industry measure of board feet is the desired answer.
To find board feet, the formula for board feet is ( thickness(in) x width (in) x length (in) )/144.
In this problem, the board feet = 170 x (1 x 8 x14)/144 = 132.2
I present both approaches to reinforce one must be very clear about what answer is required.
