A student Creates a scale model of planets where 1 cm is equal to 10,000 milometers in this model which planet would have a diameter of aproximarely 12 cm?

jupiter
saturn
mars
earth

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 days ago

To find out which planet would have a diameter of approximately 12 cm in the scale model where 1 cm represents 10,000 kilometers, we need to convert the scaled diameter back to actual diameter:

1. First, calculate the actual diameter corresponding to 12 cm in the scale model:
\[
12 \, \text{cm} \times 10,000 \, \text{km/cm} = 120,000 \, \text{km}
\]

2. Next, we need to compare this value with the actual diameters of the planets:

- **Jupiter:** Approximately 139,820 km
- **Saturn:** Approximately 116,460 km
- **Mars:** Approximately 6,779 km
- **Earth:** Approximately 12,742 km

From this, we can see that:

- Jupiter's diameter is around 139,820 km, which is significantly larger than 120,000 km.
- Saturn's diameter is approximately 116,460 km, which is also larger than 120,000 km but closer than Jupiter.
- Mars is much smaller, and Earth's diameter (12,742 km) is also smaller.

The planet that has a diameter closest to 120,000 km in this scenario is **Saturn**.