A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km). In this model, which planet would have a diameter of approximately 12 cm? (1 point)
O Mars
• Jupiter
O Satum
O Earth
In this scale model, if 1 centimeter is equal to 10,000 kilometers, then to find the diameter of a planet in the model, we can multiply the actual diameter of the planet by 10,000.
The approximate diameter of Earth is 12,742 kilometers.
So, in the scale model, the diameter of Earth would be:
12,742 km × 10,000 = 127,420,000 cm
Therefore, Earth would have a diameter of approximately 127,420,000 cm in the scale model.
Since none of the given options have a diameter of 127,420,000 cm in the scale model, none of them would be approximately 12 cm in diameter.
To find out which planet would have a diameter of approximately 12 cm in the scale model, we need to find the actual diameter of each planet and compare it to the scale model.
According to NASA, the actual diameter of each planet is as follows:
- Mars: 6,779 km
- Jupiter: 139,820 km
- Saturn: 116,460 km
- Earth: 12,742 km
In the scale model, 1 cm is equal to 10,000 km.
To find the diameter in the scale model, we divide the actual diameter of each planet by 10,000 km:
- Mars: 6,779 km ÷ 10,000 km = 0.678 cm
- Jupiter: 139,820 km ÷ 10,000 km = 13.982 cm
- Saturn: 116,460 km ÷ 10,000 km = 11.646 cm
- Earth: 12,742 km ÷ 10,000 km = 1.2742 cm
Therefore, in the scale model, the planet that would have a diameter of approximately 12 cm is Saturn.
To determine which planet would have a diameter of approximately 12 cm in the given scale model, we need to calculate the actual diameter of each planet based on the scale.
According to the scale, 1 cm represents 10,000 km. Therefore, to find the actual diameter of each planet, we need to multiply the scale factor by the diameter given in centimeters.
Diameter of Mars = 1 cm * 10,000 km/cm = 10,000 km
Diameter of Jupiter = 12 cm * 10,000 km/cm = 120,000 km
Diameter of Saturn = 12 cm * 10,000 km/cm = 120,000 km
Diameter of Earth = 12 cm * 10,000 km/cm = 120,000 km
Based on the calculations, the planet that would have a diameter of approximately 12 cm is not Mars or Earth. Instead, it is Jupiter.