Question

If the model of earth is 1cm wide, what should the widths of mars and Jupiter be??

Answer 1

To determine the widths of Mars and Jupiter based on a scale model of Earth being 1 cm wide, we will use the actual diameters of these planets:

- **Earth's diameter:** approximately 12,742 km
- **Mars' diameter:** approximately 6,779 km
- **Jupiter's diameter:** approximately 139,820 km

Now we'll calculate the scaled diameters for Mars and Jupiter using the scale where Earth's diameter is represented as 1 cm.

### Scale Calculation
1. **Scale factor:** Since Earth (12,742 km) is 1 cm in this model, the scale factor is 1 cm / 12,742 km.

2. **Mars' Diameter in Scale:**
\[
\text{Mars scaled} = \frac{6,779 \text{ km}}{12,742 \text{ km}} \times 1 \text{ cm} = \frac{6,779}{12,742} \text{ cm} \approx 0.532 \text{ cm}
\]

3. **Jupiter's Diameter in Scale:**
\[
\text{Jupiter scaled} = \frac{139,820 \text{ km}}{12,742 \text{ km}} \times 1 \text{ cm} = \frac{139,820}{12,742} \text{ cm} \approx 10.96 \text{ cm}
\]

### Summary
- If Earth is 1 cm wide:
- Mars should be approximately **0.53 cm wide**.
- Jupiter should be approximately **10.96 cm wide**.