If one third of a 19-foot length of lumber is cut off, what will the length of the remaining piece measure approximately?

To determine the length of the remaining piece of lumber after cutting off one third, first, we need to calculate one third of the 19-foot length.

One third of 19 feet is calculated as follows:

1. Divide 19 by 3, which equals approximately 6.33 feet (or 6 feet and 4 inches).

2. Next, subtract this length from the original 19 feet:

19 feet - 6.33 feet = 12.67 feet.

When converting 12.67 feet into feet and inches, we see that 0.67 feet is approximately 8 inches (since 0.67 of a foot is about 8 inches). Therefore, the length of the remaining piece is approximately 12 feet and 8 inches (12'8").

This aligns with the choice that reflects the accurate calculation for the remaining piece after the cut is made.