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?
To determine the approximate diameter in kilometers of a planet with a 12 cm diameter in the scale model, we need to divide the 12 cm by the scale factor of 10,000 km/cm:
12 cm / 10,000 km/cm = 0.0012 km
Therefore, in the scale model, a planet with a diameter of approximately 12 cm represents a planet with a diameter of approximately 0.0012 km.
wrong
Apologies for the mistake. Let's try again.
In the scale model where 1 cm represents 10,000 km, to find the diameter of a planet that is represented by 12 cm, we'll multiply the diameter of the model (12 cm) by the scale factor (10,000 km/cm) to get the actual diameter.
Diameter = 12 cm * 10,000 km/cm = 120,000 km
Therefore, in this scale model, a planet with a diameter of approximately 12 cm represents a planet with a diameter of approximately 120,000 km.
what planet
I apologize for the confusion. To determine which planet would have a diameter of approximately 12 cm in the scale model, we need to compare the actual diameters of the planets to the converted value in the model.
The actual diameter of the planets are as follows:
- Mercury: 4,879 km
- Venus: 12,104 km
- Earth: 12,742 km
- Mars: 6,779 km
- Jupiter: 139,820 km
- Saturn: 116,460 km
- Uranus: 50,724 km
- Neptune: 49,244 km
Using the scale factor of 1 cm = 10,000 km, one can divide the actual diameter of the planets by the scale factor to find their corresponding diameter in the scale model.
Dividing the actual diameters of the planets by 10,000 km, we find the following values:
- Mercury: 0.4879 cm
- Venus: 1.2104 cm
- Earth: 1.2742 cm
- Mars: 0.6779 cm
- Jupiter: 13.982 cm
- Saturn: 11.646 cm
- Uranus: 5.0724 cm
- Neptune: 4.9244 cm
Based on this conversion, none of the planets have a diameter of approximately 12 cm in the scale model.
To determine which planet would have a diameter of approximately 12 cm in the scale model, we need to divide the diameter of each planet by the scale factor of 1 cm = 10,000 km.
Let's consider the actual diameter of each planet:
- Mercury: 4,879 km
- Venus: 12,104 km
- Earth: 12,742 km
- Mars: 6,779 km
- Jupiter: 139,820 km
- Saturn: 116,460 km
- Uranus: 50,724 km
- Neptune: 49,244 km
Now, let's calculate the diameter of each planet in the scale model:
- Mercury: 4,879 km ÷ 10,000 km/cm = 0.4879 cm
- Venus: 12,104 km ÷ 10,000 km/cm = 1.2104 cm
- Earth: 12,742 km ÷ 10,000 km/cm = 1.2742 cm
- Mars: 6,779 km ÷ 10,000 km/cm = 0.6779 cm
- Jupiter: 139,820 km ÷ 10,000 km/cm = 13.9820 cm
- Saturn: 116,460 km ÷ 10,000 km/cm = 11.6460 cm
- Uranus: 50,724 km ÷ 10,000 km/cm = 5.0724 cm
- Neptune: 49,244 km ÷ 10,000 km/cm = 4.9244 cm
Based on the calculations, in the scale model, Jupiter would have a diameter of approximately 13.9820 cm and Saturn would have a diameter of approximately 11.6460 cm. Since the diameter of Jupiter is larger than 12 cm, 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 scale model, we need to convert the scale into real-world measurements.
In the given scale model, 1 cm represents 10,000 km. We can set up a proportion to calculate the diameter of the planet.
Let "x" represent the diameter of the planet in kilometers. The proportion can be set up as:
1 cm / 10,000 km = 12 cm / x km
To solve for "x," we can cross-multiply and then solve for "x."
10,000 km * 12 cm = 1 cm * x km
120,000 km cm = x km
So the planet in the scale model with a diameter of approximately 12 cm would have a real-world diameter of 120,000 km.