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To convert the original scale of the drawing so that it has a new scale of 1 box = 6 inches, we first need to understand the current length in the original drawing.

The original scale is:

• 1 box = 3 inches

The length of the bureau drawer in the scale drawing is shown to be 8 boxes.

To find the total length in inches of the original drawing, we can calculate:

\[ \text{Total length in inches} = 8 \text{ boxes} \times 3 \text{ inches/box} = 24 \text{ inches} \]

Now, we will convert this length using the new scale of 1 box = 6 inches.

To find the new length in boxes, we will divide the total length in inches by the new scale (in inches per box):

\[ \text{Length in boxes} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes} \]

Thus, the length in boxes of the new scale drawing will be 4 boxes.