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
Jupiter
Jupiter
Mars
Mars
Saturn
Saturn
Earth
To find out which planet in the scale model would have a diameter of approximately 12 cm, we need to convert the diameter of each planet into centimeters using the given scale.
1 centimeter (cm) in the scale model represents 10,000 kilometers (km) in real life.
Let's convert the diameter of each planet into centimeters:
Jupiter's diameter:
Given that the diameter of Jupiter is approximately 139,820 kilometers (km), we can convert it into centimeters using the scale.
Diameter in centimeters = 139,820 km * 10,000 cm/km = 1,398,200,000 cm
Mars's diameter:
The diameter of Mars is approximately 6,780 kilometers (km). Let's convert it into centimeters.
Diameter in centimeters = 6,780 km * 10,000 cm/km = 67,800,000 cm
Saturn's diameter:
The diameter of Saturn is approximately 116,460 kilometers (km). Converting it into centimeters:
Diameter in centimeters = 116,460 km * 10,000 cm/km = 1,164,600,000 cm
Earth's diameter:
The diameter of Earth is approximately 12,742 kilometers (km). Converting it into centimeters:
Diameter in centimeters = 12,742 km * 10,000 cm/km = 127,420,000 cm
Comparing the converted diameters, we can see that the planet with a diameter close to 12 cm in the scale model would be Mars, with an approximate diameter of 67,800,000 cm.
To find out which planet would have a diameter of approximately 12 cm in the scale model, we need to calculate the actual diameter of each planet and compare it to 12 cm.
Let's calculate the actual diameter of each planet in kilometers using the scale:
1 cm = 10,000 km
Jupiter:
12 cm * 10,000 km/cm = 120,000 km
Mars:
12 cm * 10,000 km/cm = 120,000 km
Saturn:
12 cm * 10,000 km/cm = 120,000 km
Earth:
12 cm * 10,000 km/cm = 120,000 km
Therefore, all four planets - Jupiter, Mars, Saturn, and Earth - would have a diameter of approximately 12 cm in the scale model.
wrong
Apologies for the error. Let's try to calculate the correct answer.
In the scale model, 1 cm is equal to 10,000 km. To find out which planet would have a diameter of approximately 12 cm, we need to divide 12 cm by 10,000 and then multiply the result by the actual diameter of each planet.
Jupiter has a diameter of approximately 139,820 km.
12 cm / 10,000 * 139,820 km = 167.784 km
Mars has a diameter of approximately 6,779 km.
12 cm / 10,000 * 6,779 km = 0.81348 km
Saturn has a diameter of approximately 116,460 km.
12 cm / 10,000 * 116,460 km = 139.752 km
Earth has a diameter of approximately 12,742 km.
12 cm / 10,000 * 12,742 km = 15.2904 km
Based on these calculations, the only planet that would have a diameter of approximately 12 cm in the scale model is Mars.