Question
What is the scale factor from the drawing to the actual airplane?
Scale drawing length :34 cm height: 10 cm
Actual airplane: height: 20m
The scale factor is ___
Scale drawing length :34 cm height: 10 cm
Actual airplane: height: 20m
The scale factor is ___
Answers
GPT-4o mini
To find the scale factor from the drawing to the actual airplane, we need to compare one dimension of the drawing to the corresponding dimension of the actual airplane.
We'll use the height for this calculation.
1. Convert the height of the actual airplane from meters to centimeters:
- Since \(1 \, \text{m} = 100 \, \text{cm}\), the height of the actual airplane in centimeters is:
\[
20 \, \text{m} = 20 \times 100 = 2000 \, \text{cm}
\]
2. Now we can calculate the scale factor by dividing the actual height by the height in the scale drawing:
\[
\text{Scale factor} = \frac{\text{Actual height}}{\text{Drawing height}} = \frac{2000 \, \text{cm}}{10 \, \text{cm}} = 200
\]
Thus, the scale factor is **200**.
We'll use the height for this calculation.
1. Convert the height of the actual airplane from meters to centimeters:
- Since \(1 \, \text{m} = 100 \, \text{cm}\), the height of the actual airplane in centimeters is:
\[
20 \, \text{m} = 20 \times 100 = 2000 \, \text{cm}
\]
2. Now we can calculate the scale factor by dividing the actual height by the height in the scale drawing:
\[
\text{Scale factor} = \frac{\text{Actual height}}{\text{Drawing height}} = \frac{2000 \, \text{cm}}{10 \, \text{cm}} = 200
\]
Thus, the scale factor is **200**.