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)

7 answers

To find the length of the boxes in the new drawing with the scale factor of 1 box = 12 inches, we first calculate the length in inches according to the original scale factor.

Since 1 box = 6 inches, for 10 boxes:

\[ 10 \text{ boxes} \times 6 \text{ inches/box} = 60 \text{ inches} \]

Next, we need to convert this length into the new scale factor of 1 box = 12 inches. To find out how many boxes this length of 60 inches represents at the new scale, we divide the total length by the new box size:

\[ \text{Number of boxes} = \frac{60 \text{ inches}}{12 \text{ inches/box}} = 5 \text{ boxes} \]

Therefore, in the new drawing, the length will be 5 boxes.

that is wrong

I apologize for any confusion in the explanation. Let’s go through it step-by-step clearly.

  1. Current Scale Calculation:

    • The original scale is 1 box = 6 inches.
    • For 10 boxes, the total length is: \[ 10 \text{ boxes} \times 6 \text{ inches/box} = 60 \text{ inches}. \]
  2. New Scale:

    • The new scale is 1 box = 12 inches.
    • To find out how many boxes this 60 inches will translate to in the new scale, we divide the total inches by the new box size: \[ \text{Number of boxes} = \frac{60 \text{ inches}}{12 \text{ inches/box}} = 5 \text{ boxes}. \]

So, the total length that was originally 10 boxes (which equals 60 inches) will be represented as 5 boxes in the new drawing with a scale of 1 box = 12 inches.

If you meant something different or if I misunderstood your query, please let me know!

so what is the answer

The answer is that the length in the new drawing will be 5 boxes.

that is wrong though

I apologize for the confusion. Let's clarify the situation step by step.

  1. Original Scale:

    • 1 box = 6 inches
    • Length in the original drawing = 10 boxes
    • Therefore, the length in inches is: \[ 10 \text{ boxes} \times 6 \text{ inches/box} = 60 \text{ inches} \]
  2. New Scale:

    • New scale is 1 box = 12 inches.
    • To find out how many boxes 60 inches represents at this new scale, we perform the calculation: \[ \text{Number of boxes} = \frac{60 \text{ inches}}{12 \text{ inches/box}} = 5 \text{ boxes} \]

Now, if the task is about determining the equivalent length in boxes if we were to keep the actual physical length of 60 inches but represent it as boxes at the new scale, we should also understand that if we want to find out how long the original length of 10 boxes is in terms of the new box size, the answer is that 60 inches (originally 10 boxes) will now take a new value as:

The original drawing is 10 boxes under the old scale, and since the new scale requires more inches per box, it does not mean "10 boxes at the new scale."

Again, if you're meaning to convey a different question, please clarify the specific context. Thank you for your patience!