Use the image to answer the question.
8
4
e / 1 * box = 3in
Convert this scale drawing of a bureau drawer so that it has a scale of 1hnx = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing?
Give me the correct answer.
To convert the scale drawing to a scale of 1hnx = 6 inches, we need to determine the length in boxes of the new scale drawing.
From the given information, we know that 1 inch in the original scale corresponds to 1 box (e / 1 * box = 3in). This means that each box in the original scale represents 1 inch.
To find the length in boxes of the new scale drawing, we multiply the length in inches by the scale factor (6 inches / 1 inch):
Length in boxes = Length in inches * Scale factor
Length in boxes = 8 boxes * 6 inches / 1 inch
Length in boxes = 48 boxes
Therefore, the length in boxes of the new scale drawing will be 48.
To answer the question, we need to use the given information in the image and perform a conversion using the given scale.
First, let's analyze the information provided in the image:
- The length in the scale drawing shown is 8 boxes.
- The equation "e / 1 * box = 3in" implies that "e" represents the length of 1 box, which is equal to 3 inches.
Now, we need to convert the scale drawing so that it has a scale of 1hnx = 6 inches. This means that 1 unit in the new scale drawing (1hnx) is equal to 6 inches.
To find the length in boxes of the new scale drawing, we can set up a proportion using the given information:
8 boxes / 3 inches = x boxes / 6 inches
To solve this proportion, we can cross-multiply:
(8 boxes) * (6 inches) = (3 inches) * (x boxes)
48 boxes inches = 3x boxes inches
Next, we can divide both sides of the equation by 3 boxes inches to isolate x:
48 boxes inches / 3 boxes inches = x
x = 16 boxes
Therefore, the length in boxes of the new scale drawing will be 16 boxes.
To convert the scale drawing of the bureau drawer to a scale of 1hnx = 6 inches, we need to determine the number of boxes in the new scale drawing for a given length.
In the given scale drawing, the length is represented by 8 boxes. Since the length of the bureau drawer is not specified, we'll use the given scale to find the length in inches.
According to the given scale, 1hnx = 3 inches.
To find the length of the bureau drawer in inches, we can use the ratio:
8 boxes / 1hnx = x inches / 3 inches
Cross-multiplying, we have:
8 boxes * 3 inches = 1hnx * x inches
24 inches = x inches
Therefore, the length of the bureau drawer in inches is 24 inches.
Now, we need to find the length in boxes for the new scale drawing, where 1hnx = 6 inches.
Using the ratio again:
24 inches / 6 inches = y boxes / 1hnx
Cross-multiplying:
24 inches * 1hnx = y boxes * 6 inches
144 inches = y boxes * 6 inches
Divide both sides by 6 inches:
144 inches / 6 inches = y boxes
24 = y boxes
Therefore, the length in boxes of the new scale drawing will be 24 boxes.