To find the new length in boxes of the scale drawing when changing the scale from 1 box = 3 inches to 1 box = 6 inches, we can follow these steps:
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Calculate the actual dimensions in inches using the original scale:
- The original length of the rectangle in the scale drawing is 8 boxes.
- Since each box represents 3 inches, the actual length is: \[ \text{Actual Length} = 8 \text{ boxes} \times 3 \text{ inches/box} = 24 \text{ inches} \]
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Determine the new length in boxes using the new scale:
- Now, with the new scale of 1 box = 6 inches, we need to find out how many boxes correspond to the same actual length of 24 inches.
- We can set up the equation: \[ \text{New Length in boxes} \times 6 \text{ inches/box} = 24 \text{ inches} \]
- Solving for the new length in boxes: \[ \text{New Length in boxes} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes} \]
Therefore, under the new scale of 1 box = 6 inches, the length in boxes of the new scale drawing will be 4 boxes.