8
4
Scale: 1box = 3inches
Convert this scale drawing of a bureau drawer so that it has a scale of 1box = 6inches The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing?
(1 point)
The length in the new scale drawing will be 4 boxes.
To convert the scale drawing to a scale of 1box = 6inches, we need to double the length of each box. Since the original length is 8 boxes, we will multiply it by 2.
8 boxes * 2 = 16
Therefore, the length in boxes of the new scale drawing will be 16.
To convert the scale drawing, we need to keep the same ratio between the length in boxes and the actual length in inches.
Given that the original scale is 1 box = 3 inches, and the length in the original scale drawing is 8 boxes, we can calculate the actual length using the given scale of 1 box = 6 inches.
Let's start by finding the actual length in inches of the original scale drawing. We can use the formula:
Actual Length (in inches) = Length in boxes * Scale factor
Substituting the given values:
Actual Length (in inches) = 8 boxes * 3 inches/box
Actual Length (in inches) = 24 inches
Now, let's find the length in boxes of the new scale drawing using the new scale of 1 box = 6 inches. We need to rearrange the formula to solve for the length in boxes:
Length in boxes = Actual Length (in inches) / Scale factor
Substituting the values:
Length in boxes = 24 inches / 6 inches/box
Length in boxes = 4 boxes
So, the length in boxes of the new scale drawing will be 4.