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?. (1 point) Responses
2 2
14 14
12 12
3.5
2 2
14 14
12 12
3.5
Answers
GPT-4o mini
To convert the scale from 1 box = 6 meters to 1 box = 3 meters, we first need to determine how many meters the original length of 7 boxes represents.
Calculating the length in meters with the original scale:
\[
\text{Length in meters} = 7 \text{ boxes} \times 6 \text{ meters/box} = 42 \text{ meters}
\]
Now, we'll convert this length into boxes using the new scale of 1 box = 3 meters:
\[
\text{Length in boxes} = \frac{42 \text{ meters}}{3 \text{ meters/box}} = 14 \text{ boxes}
\]
Thus, the length in boxes of the new drawing will be **14**.
Calculating the length in meters with the original scale:
\[
\text{Length in meters} = 7 \text{ boxes} \times 6 \text{ meters/box} = 42 \text{ meters}
\]
Now, we'll convert this length into boxes using the new scale of 1 box = 3 meters:
\[
\text{Length in boxes} = \frac{42 \text{ meters}}{3 \text{ meters/box}} = 14 \text{ boxes}
\]
Thus, the length in boxes of the new drawing will be **14**.