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

1 answer

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

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