To determine the length of the boxes in the new drawing when scaling from one box equals six engines to one box equals twelve engines, we first need to establish a few parameters from your description.
-
Understanding the Scale Factors:
- Original scale: 1 box = 6 engines
- New scale: 1 box = 12 engines
-
Scale Factor Calculation: The new scale factor can be calculated in relation to the original scale. The scale factor can be represented as a ratio of the new scale to the original scale: \[ \text{Scale Factor} = \frac{\text{New Scale}}{\text{Original Scale}} = \frac{12 \text{ engines}}{6 \text{ engines}} = 2 \] This means that the new drawing will make the boxes twice the size of the original boxes.
-
Calculating Lengths: If you had a length for the boxes in the original scale, you would now multiply that length by the scale factor of 2.
Since you mentioned showing 10 boxes, if we let \(L\) be the length of one box in the original scale, the new length of one box would be: \[ \text{New Length of One Box} = L \times 2 \]
If you want the total length for 10 boxes in the new drawing, it would be: \[ \text{Total Length for 10 Boxes} = 10 \times (\text{New Length of One Box}) = 10 \times (L \times 2) = 20L \]
To finalize the calculation, you need to know the specific length \(L\) for one box in the original scale. Without that information, I can't provide an exact numerical answer.
If you provide the length of one box in the original drawing, I can calculate the exact dimension for you.
1 answer