To convert the scale of the drawing from 1 box = 3 inches to 1 box = 6 inches, we need to determine the length in boxes under the new scale.
First, we calculate how many inches the rectangle's length corresponds to in the original scale:
- Original length = 8 boxes * 3 inches/box = 24 inches
Now, we'll convert this length into boxes using the new scale:
- New scale: 1 box = 6 inches
- To find the length in boxes for the new scale, we take the total length in inches (24 inches) and divide it by the new scale in inches per box (6 inches/box):
\[ \text{New length in boxes} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes} \]
Thus, under the new scale of 1 box = 6 inches, the length of the rectangle in the new scale drawing will be 4 boxes.