Final answer:
To convert the scale drawing of a bureau drawer to a new scale of one box equals 6 inches, we can use proportions to find the length in the new scale drawing. The length in boxes of the new scale drawing is 4/3 boxes.
Step-by-step explanation:
To convert the scale drawing of a bureau drawer to a new scale of one box equals 6 inches, we need to determine the length in boxes of the new scale drawing.
Given that the length in the scale drawing is eight boxes, we can use proportions to find the length in the new scale drawing.
We can set up the proportion as follows:
Scale length / Actual length = Scale factor / Actual factor
Let's substitute the given values:
8 boxes / x boxes = 6 inches / 1 box
Cross-multiplying, we get:
8 boxes * 1 box = x boxes * 6 inches
Simplifying further:
8 = 6x
Dividing both sides by 6, we find:
x = 4/3
Therefore, the length in boxes of the new scale drawing is 4/3 boxes.