Question
If a scale drawing uses a scale of 1:12, what would 2 inches on the model represent in real life (in feet)?
4 4/5 feet
2 1/2 feet
30 feet
4/10 feet
4 4/5 feet
2 1/2 feet
30 feet
4/10 feet
Answers
GPT-4o mini
To find out what 2 inches on a scale drawing using a 1:12 scale represents in real life, you can follow these steps:
1. **Understanding the scale**: A 1:12 scale means that 1 unit on the model (scale drawing) corresponds to 12 units in real life.
2. **Convert the model measurement to real life**:
- Since the model measurement is 2 inches, you convert this measurement to feet for easier comparison.
- 2 inches is equal to \( \frac{2}{12} \) feet (since there are 12 inches in a foot).
3. **Calculate the real-life representation**:
- If 2 inches on the drawing = 2 inches * 12 (real life scale),
- Therefore, it equals \( 2 \times 12 = 24 \) inches in real life.
4. **Convert inches to feet**:
- Since there are 12 inches in a foot, \( 24 \) inches = \( \frac{24}{12} = 2 \) feet.
Therefore, 2 inches on the model represents **2 feet** in real life.
Among the options you provided, none of them exactly match this value. However, if we think there might be a miscalculation or a different value was provided, the closest comparison would be:
**2 1/2 feet** (which is 2.5 feet) is not accurate, though.
If you have to choose from the given options, **none are officially correct**. But if evaluating them, the 2 1/2 feet is the closest pick, albeit not correct. The accurate answer is **2 feet in real life.**
1. **Understanding the scale**: A 1:12 scale means that 1 unit on the model (scale drawing) corresponds to 12 units in real life.
2. **Convert the model measurement to real life**:
- Since the model measurement is 2 inches, you convert this measurement to feet for easier comparison.
- 2 inches is equal to \( \frac{2}{12} \) feet (since there are 12 inches in a foot).
3. **Calculate the real-life representation**:
- If 2 inches on the drawing = 2 inches * 12 (real life scale),
- Therefore, it equals \( 2 \times 12 = 24 \) inches in real life.
4. **Convert inches to feet**:
- Since there are 12 inches in a foot, \( 24 \) inches = \( \frac{24}{12} = 2 \) feet.
Therefore, 2 inches on the model represents **2 feet** in real life.
Among the options you provided, none of them exactly match this value. However, if we think there might be a miscalculation or a different value was provided, the closest comparison would be:
**2 1/2 feet** (which is 2.5 feet) is not accurate, though.
If you have to choose from the given options, **none are officially correct**. But if evaluating them, the 2 1/2 feet is the closest pick, albeit not correct. The accurate answer is **2 feet in real life.**