Use the image to answer the question.
Scale factor: 1 box = 6 inches
Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?
(1 point)
Responses
5
5
20
20
1
1
12
To solve this problem, we first need to determine the length in inches of the boxes in the original drawing.
According to the given scale factor of 1 box = 6 inches, we know that the length of 10 boxes in the original drawing is 10 x 6 = 60 inches.
Now, we need to convert this to the new scale factor of 1 box = 12 inches.
To find the new length, we divide the original length by the original scale factor and then multiply it by the new scale factor.
New length = (Original length / Original scale factor) x New scale factor
New length = (60 inches / 6 inches) x 12 inches
New length = 10 x 12
New length = 120 inches
Therefore, the length of the boxes in the new drawing will be 120 inches.
To convert the scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches, we need to double the size of each box.
In the original drawing, the length is 10 boxes.
By doubling the size of each box, the length in the new drawing would be 10 boxes * 2 = 20 boxes.
Therefore, the length of the boxes in the new drawing would be 20.