What does the equation [thickness(inches)xwidth(inches)xlength(feet)]/12 represent?

The equation [thickness(inches) x width(inches) x length(feet)] / 12 is used to calculate the volume of lumber in board feet. A board foot is a unit of measurement for lumber that is equal to a volume of 1 foot long by 1 foot wide by 1 inch thick.

In this equation, the thickness and width are given in inches, showcasing the cross-sectional area of the board, while the length is measured in feet. By multiplying these dimensions together, you get the volume in cubic inches. The division by 12 is necessary to convert this volume into board feet, since there are 144 cubic inches in a board foot (1 inch thick x 12 inches wide x 12 inches long). Thus, the equation effectively turns the given dimensions into a standard unit for measuring lumber, making it easier to calculate how much wood is needed for a project.

This definition clearly aligns with the concept of board feet as a measurement of lumber volume, distinguishing it from other units such as cubic yards or cubic inches, which measure volume differently.