To determine the length of a long rod in foot spans after measuring it initially with pace spans, we first need to understand the relationship between the two types of measurements. A pace span typically refers to the distance covered by one full step of an individual, often measured at an average of 2.5 to 3 feet, depending on the person’s stride length. Conversely, a foot span is the length of a human foot, which averages around 12 inches or 1 foot.
Let’s say for example we measured the length of the rod using pace spans and found it was 10 pace spans. If we assume that each pace span corresponds to about 3 feet, we could calculate the total length of the rod in feet first. This would be:
Total length in feet = Number of pace spans × Length of one pace span
Total length in feet = 10 pace spans × 3 feet/pace span = 30 feet
Now, we will convert this length into foot spans. Since each foot span equals 1 foot, the total length of the rod in foot spans is simply:
Total length in foot spans = Total length in feet
Total length in foot spans = 30 feet = 30 foot spans
Thus, if the rod was initially measured at 10 pace spans, its length would be 30 foot spans. This example shows the conversion process clearly and emphasizes the relationship between pace spans and foot spans.