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?
The length of the boxes in the new drawing can be found by multiplying the length in the scale drawing by the new scale factor.
Length in the scale drawing = 10 boxes
Scale factor = 1 box = 12 inches
Length in the new drawing = Length in the scale drawing x Scale factor
Length in the new drawing = 10 boxes x 12 inches/box
= 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 length of the boxes in the new drawing.
Given that the length in the scale drawing shown is 10 boxes, we can find the length of the boxes in the new drawing by multiplying it by the scale factor ratio.
The scale factor ratio is calculated as: new scale factor / old scale factor
= 12 inches / 6 inches
= 2
Therefore, we multiply the length of the boxes in the original drawing (10 boxes) by the scale factor ratio (2) to get the length of the boxes in the new drawing.
Length of the boxes in the new drawing = 10 boxes * 2 = 20 boxes
So, the length of the boxes in the new drawing will be 20 boxes.
To answer this question, we need to understand the concept of scale factor and how it affects the length of objects in a scale drawing.
The original scale factor given is 1 box = 6 inches, meaning that one box in the scale drawing represents 6 inches in real life.
The problem asks us to convert the scale factor to 1 box = 12 inches. This means that each box in the new drawing will represent 12 inches in real life.
Since the length in the scale drawing is given as 10 boxes, we can determine the length in real life by multiplying the number of boxes by the length represented by each box in inches.
In the original scale drawing (1 box = 6 inches), the length would be 10 boxes * 6 inches/box = 60 inches.
To find the length in the new drawing (1 box = 12 inches), we can set up a proportion using the ratios of the old and new scale factors:
(Length in original)/(Length in new) = (Scale factor for original)/(Scale factor for new)
Substituting the values we have:
60 inches / Length in new = 1 box / 12 inches
To solve for the length in the new drawing, we can cross multiply:
Length in new = (60 inches * 12 inches) / 1 box
Calculating this expression gives us:
Length in new = 720 inches
Therefore, the length of the boxes in the new drawing will be 720 inches.