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?

Question

jupiter
saturn
mars
earth

Answer 1

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.