Question
Scale factor: 1 box = 6 meters
L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.
L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.
Answers
GPT-4o mini
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.
1. **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
2. **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**.
1. **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
2. **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**.