To convert the length from a scale factor of 1 box = 6 meters to 1 box = 3 meters, we first need to determine the actual length in meters based on the original scale and then convert that length back into boxes based on the new scale.
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Calculate the actual length in meters using the original scale:
- Length in boxes = 7 boxes
- Scale factor = 6 meters per box
- Actual length = Length in boxes × Scale factor = 7 boxes × 6 meters/box = 42 meters
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Convert this actual length back into boxes using the new scale:
- New scale factor = 3 meters per box
- Length in boxes (new drawing) = Actual length / New scale factor = 42 meters / 3 meters/box = 14 boxes
Therefore, the length in boxes of the new drawing will be 14 boxes.