To determine the length of wood that requires 8 nails using Qian's rule, we can first analyze the relationship between the length of the wood and the number of nails required.
According to the rule:
-
Length of wood for 3 nails = 9 inches
Therefore, 1 nail corresponds to \( \frac{9 \text{ inches}}{3 \text{ nails}} = 3 \text{ inches/nail} \). -
Length of wood for 13 nails = 39 inches
Therefore, 1 nail corresponds to \( \frac{39 \text{ inches}}{13 \text{ nails}} = 3 \text{ inches/nail} \).
This shows that Qian’s rule consistently indicates that each nail corresponds to 3 inches of length.
Now, if we want to find the length of wood that requires 8 nails:
- Length of wood for 8 nails = \( 8 \text{ nails} \times 3 \text{ inches/nail} = 24 \text{ inches} \).
Thus, the answer is:
24 inches.
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