Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AScale factor: 1 box = 6 inches%0D%0A%0D%0AMaisie 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?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A5%0D%0A5%0D%0A%0D%0A20%0D%0A20%0D%0A%0D%0A1%0D%0A1%0D%0A%0D%0A12
The length in the scale drawing shown is 60 inches (10 boxes x 6 inches per box).
Since the new scale factor is 1 box = 12 inches, we can calculate the length of the boxes in the new drawing by dividing the length in the original drawing by the scale factor.
Therefore, the length of the boxes in the new drawing will be 5 inches (60 inches / 12 inches per box).
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 length of the boxes in the new drawing.
Given that the length in the scale drawing shown is 10 boxes, we can calculate the length of the boxes in the new drawing by multiplying 10 boxes by the scale factor ratio.
Scale factor ratio = new scale factor / old scale factor
Scale factor ratio = 12 inches / 6 inches = 2
Length in new drawing = Length in old drawing * Scale factor ratio
Length in new drawing = 10 boxes * 2 = 20 boxes
Therefore, the length of the boxes in the new drawing will be 20.
To find the length of the boxes in the new drawing, we can use the ratio of the scale factors.
Given:
Scale factor of current drawing = 1 box = 6 inches
Scale factor of new drawing = 1 box = 12 inches
Let's start by finding the ratio of the scale factors:
Ratio = (Scale factor of new drawing) / (Scale factor of current drawing)
= (1 box = 12 inches) / (1 box = 6 inches)
= 12 / 6
= 2
The ratio tells us that the new scale factor is twice as large as the current scale factor.
Now, we can use the given information that the length in the scale drawing shown is 10 boxes.
Length in the new drawing = (Length in the current drawing) * (Ratio)
= 10 boxes * 2
= 20 boxes
So, the length of the boxes in the new drawing will be 20 boxes.