To convert the scale of the drawing from 1 box = 3 inches to 1 box = 6 inches, we first determine the dimensions in inches based on the current scale:
- The length of the rectangle is 8 boxes, and at the current scale, this equals: \[ 8 \text{ boxes} \times 3 \text{ inches/box} = 24 \text{ inches} \]
Now, we want to find out how many boxes this length corresponds to in the new scale of 1 box = 6 inches. To do this, we divide the total length in inches by the new scale:
\[ \text{Length in boxes} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes} \]
Therefore, the length in boxes of the new scale drawing will be 4 boxes.