Scale:1 box= 3 Inches convert this scale drawing of a bureau drawer so that it has a scale of 1 box = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing?

Answer 1

To convert the scale from 1 box = 3 inches to 1 box = 6 inches, we need to determine the equivalent length in boxes given the new scale.

1. The current length of the bureau drawer in the scale drawing is 8 boxes.

2. In the current scale (1 box = 3 inches), the length in inches is: \[ \text{Length in inches} = 8 \text{ boxes} \times 3 \text{ inches/box} = 24 \text{ inches} \]

3. Now, we need to calculate how many boxes this length would be in the new scale (1 box = 6 inches). To do that, we divide the total length in inches by the new scale value: \[ \text{Length in boxes} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes} \]

Thus, the length of the bureau drawer in the new scale drawing will be 4 boxes.