Scale: 1 box = 15 feet.
Covert the scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shows 2 feet. What is the width in boxes in the new scale drawing?
The answer is NOT 2/15 boxes.
To convert the scale, we need to determine the conversion factor. The current scale is 1 box = 15 feet, while the desired scale is 1 box = 5 feet.
To find the conversion factor, we divide the desired scale by the current scale:
Conversion factor = (desired scale) / (current scale)
= (1 box)/(5 feet) / (1 box)/(15 feet)
= (1/5)/(1/15)
= (1/5) * (15/1)
= 15/5
= 3
The conversion factor is 3. This means that to convert from the current scale to the desired scale, we need to multiply the measurements in the current scale by 3.
The width in the current scale drawing is 2 feet. To find the width in boxes in the new scale drawing, we multiply 2 by the conversion factor:
Width in new scale drawing = 2 feet * 3
= 6 feet
Therefore, the width in boxes in the new scale drawing is 6 feet.
To convert the scale drawing to a new scale of 1 box = 5 feet, we need to determine the ratio of the two scales.
The original scale is 1 box = 15 feet, and the new scale is 1 box = 5 feet.
To find the ratio between the two scales, we divide the new scale by the original scale:
(1 box / 5 feet) / (1 box / 15 feet) = 15 / 5 = 3
This means that every box in the new scale drawing represents three boxes in the original scale drawing.
Now, to find the width in boxes in the new scale drawing, we divide the original width (2 feet) by the ratio:
2 feet / 3 = 0.6667 feet
Since the width in the new scale drawing is in boxes, we need to convert feet to boxes based on the new scale:
0.6667 feet * (1 box / 5 feet) = 0.1333 boxes
So, the width in boxes in the new scale drawing is approximately 0.1333 boxes, which is NOT 2/15 boxes as stated in the question.