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)
Responses
Saturn
Mars
Jupiter
Earth
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 the planet and then convert it into centimeters using the scale of 1 cm = 10,000 km.
The actual diameter of the planets in kilometers is as follows:
Saturn: approximately 116,460 km
Mars: approximately 6,779 km
Jupiter: approximately 139,820 km
Earth: approximately 12,742 km
To convert the actual diameter of each planet into centimeters, we divide the actual diameter by 10,000:
Saturn: 116,460 km / 10,000 = 11.646 cm
Mars: 6,779 km / 10,000 = 0.6779 cm
Jupiter: 139,820 km / 10,000 = 13.982 cm
Earth: 12,742 km / 10,000 = 1.2742 cm
Based on these conversions, the planet that would have a diameter of approximately 12 cm in the scale model is Jupiter.
To find out which planet would have a diameter of approximately 12 cm in this scale model, we can set up a proportion using the given scale.
Let's assume x represents the diameter of the planet in kilometers.
According to the scale model, 1 cm is equal to 10,000 km. So, we can set up the proportion:
1 cm / x km = 12 cm / 12 * 10,000 km
Simplifying the proportion:
1 / x = 12 / 120,000
Cross-multiplying:
120,000 = 12x
Dividing both sides by 12:
x = 10,000 km
So, in this scale model, a planet with a diameter of approximately 12 cm would represent a planet with a diameter of approximately 10,000 km.
Therefore, none of the given planets (Saturn, Mars, Jupiter, Earth) would have a diameter of approximately 12 cm in this scale model.