Question

Scale factor: 1 box = 6 inches

Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?

(1 point)
Responses

1
1

20
20

12
12

5

Answer 1

To convert the scale from 1 box = 6 inches to 1 box = 12 inches, you can follow these steps:

1. **Calculate the original length in inches:**
Since 1 box = 6 inches, and the length in the scale drawing is 10 boxes:
\[
\text{Length in inches} = 10 \, \text{boxes} \times 6 \, \text{inches/box} = 60 \, \text{inches}
\]

2. **Convert the total length to the new scale factor:**
Now, using the new scale factor where 1 box = 12 inches:
\[
\text{New length in boxes} = \frac{60 \, \text{inches}}{12 \, \text{inches/box}} = 5 \, \text{boxes}
\]

Therefore, in the new drawing, the length will be **5 boxes**.

So the response is:
**5**