Question

Use the image to answer the question.



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?

(1 point)
$$ ..

Answer 1

To convert the scale from 1 box = 3 inches to 1 box = 6 inches, we need to find out how the dimensions change with the new scale.

Given:
- Original scale: 1 box = 3 inches
- New scale: 1 box = 6 inches
- Length in original scale drawing: 8 boxes

First, we calculate the total length in inches of the original drawing:

\[
\text{Length in inches} = \text{Number of boxes} \times \text{Inches per box} = 8 \text{ boxes} \times 3 \text{ inches/box} = 24 \text{ inches}
\]

Now, we convert this length into boxes for the new scale:

Using the new scale (1 box = 6 inches), we find the number of boxes that corresponds to 24 inches:

\[
\text{Number of boxes in new scale} = \frac{\text{Length in inches}}{\text{Inches per box in new scale}} = \frac{24 \text{ inches}}{6 \text{ inches/box}} = 4 \text{ boxes}
\]

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