First, we need to find the length in inches based on the original scale where 1 box is equal to 6 inches.
Given:
- The length in the original scale drawing = 8 boxes
To find the length in inches: \[ \text{Length in inches} = \text{Length in boxes} \times \text{Length of one box} \] \[ \text{Length in inches} = 8 \text{ boxes} \times 6 \text{ inches/box} = 48 \text{ inches} \]
Now we need to convert this length back to boxes using the same scale of 1 box = 6 inches:
To find the length in boxes of the new scale drawing: \[ \text{Length in boxes} = \frac{\text{Length in inches}}{\text{Length of one box}} \] \[ \text{Length in boxes} = \frac{48 \text{ inches}}{6 \text{ inches/box}} = 8 \text{ boxes} \]
So the length in boxes of the new scale drawing will still be 8 boxes.
1 answer