A student uses a diagram to show the scale sizes of the planets. Which planet’s diameter would be approximately the distance across the United States?
A1 D. Mercury
Suppose a student develops a scale model of planets. Which two planets should be the closest in diameter on the model?
A2 A. Earth and Venus
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?
A3 D. Saturn
Which planet will have a diameter that is approximately ten time larger than Mercury on a scale model?
A5 D.Neptune
Based on the information given, the correct answer to each question is:
A1: D. Mercury
A2: A. Earth and Venus
A3: D. Saturn
A5: D. Neptune
To summarize the answers step-by-step:
Question A1: The planet whose diameter would be approximately the distance across the United States is Mercury.
Question A2: The two planets that should be the closest in diameter on the model are Earth and Venus.
Question A3: In a scale model where 1 cm is equal to 10,000 km, Saturn would have a diameter of approximately 12 cm.
Question A4: The planet that will have a diameter approximately ten times larger than Mercury on a scale model is Neptune.
To answer these questions, we need to know the approximate sizes of the planets and compare them to the given scales or comparisons. Here's how we can find the answers:
A1: To determine which planet's diameter would be approximately equal to the distance across the United States, we need to find the diameter of each planet and compare it to the distance across the United States. The approximate diameter of Mercury is 4,879 km, and the approximate width of the United States is around 4,300 km. Comparing these values, we can conclude that the planet whose diameter is approximately the same as the distance across the United States is D. Mercury.
A2: To determine which two planets should be the closest in diameter on the scale model, we need to compare the sizes of all the planets and find the smallest differences. Let's consider the approximate diameters of Earth and Venus. The diameter of Earth is approximately 12,742 km, and the diameter of Venus is approximately 12,104 km. By subtracting these values, we find that the difference is 638 km, which is the smallest among all other planet pairs. Therefore, on the scale model, the two planets closest in diameter would be A. Earth and Venus.
A3: In the given scale model, 1 cm represents 10,000 km. To find which planet has a diameter of approximately 12 cm, we can set up a proportion using the scale. We know that 1 cm represents 10,000 km, so 12 cm would represent 12 * 10,000 km. Calculating this, we get 120,000 km. Therefore, the planet with a diameter of approximately 12 cm on the scale model is D. Saturn.
A5: To determine which planet's diameter is approximately ten times larger than Mercury on a scale model, we again need to compare the sizes of all the planets. Since we're looking for a planet that is approximately ten times larger than Mercury, we can multiply Mercury's diameter by 10 and find the planet with the closest diameter. The approximate diameter of Mercury is 4,879 km, and multiplying it by 10 gives us 48,790 km. Among all the planets, Neptune has the closest diameter to this value, making it the planet whose diameter is approximately ten times larger than Mercury on the scale model. Therefore, the answer is D. Neptune.