To determine the widths of Mars and Jupiter in the model based on the given width of Earth (1 cm), we can use the relative sizes of the planets.
- Earth's diameter: Approximately 12,742 km
- Mars's diameter: Approximately 6,779 km (which is about 53% of Earth's diameter)
- Jupiter's diameter: Approximately 139,820 km (which is about 1090% of Earth's diameter)
Now, we'll calculate the model sizes:
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Width of Mars:
- Mars is about 53% the size of Earth.
- In the model, if Earth is 1 cm wide, then Mars would be approximately: \[ 0.53 \times 1 \text{ cm} = 0.53 \text{ cm} \]
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Width of Jupiter:
- Jupiter is about 1090% the size of Earth.
- In the model, if Earth is 1 cm wide, then Jupiter would be approximately: \[ 10.9 \times 1 \text{ cm} = 10.9 \text{ cm} \]
Converting these to reasonable widths for a model:
- Mars should be approximately 0.5-0.6 cm (commonly rounded to about 0.5-1 cm for ease in models).
- Jupiter should be approximately 10.9 cm (which can be rounded to about 11 cm).
Looking at the responses, the closest approximation for Mars and Jupiter based on scale would be:
Mars should be about 1 half cm wide, and Jupiter should be about 10 cm wide.
This option reflects the appropriate scale based on the actual relative sizes of the planets.
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