Hello!
The volume of a board foot can be calculated using the following formula:
volume = (length) x (width) x (depth)
We know that there are 12 inches to every foot. Therefore, the dimensions of a board foot can be restated and inserted into the above formula:
volume = (1 ft) x (1 ft) x (1 in)
volume = (12 in) x (12 in) x (1 in)
Simplify the right side of the equation:
volume = 144 in
We have now proven the volume of a board foot to contain 144 cubic inches of wood.
I hope this helps!
