To convert the scale of the drawing from 1 box = 3 inches to a new scale of 1 box = 6 inches, we first need to determine the length of the bureau drawer in inches.
Given that the original scale is:
- 1 box = 3 inches
- Length in the original drawing = 8 boxes
We can find the length in inches:
\[ \text{Length in inches} = 8 , \text{boxes} \times 3 , \text{inches/box} = 24 , \text{inches} \]
Now, we want to find the length in boxes for the new scale where:
- 1 box = 6 inches
To find the length in boxes for the new scale, we use the length in inches we calculated:
\[ \text{Length in boxes} = \frac{\text{Length in inches}}{\text{New scale (in inches per box)}} \]
Substituting in the values:
\[ \text{Length in boxes} = \frac{24 , \text{inches}}{6 , \text{inches/box}} = 4 , \text{boxes} \]
Therefore, the length in boxes of the new scale drawing will be 4 boxes.