The volume of Earth is approximately 1 × 10^12 cu km, while the volume of Earth's moon is approximately 2 × 10^10 cu km. Which of the following is true?

Question

A.
The volume of Earth is approximately five times the volume of Earth's moon.

B.
The volume of Earth's moon is approximately fifty times the volume of Earth.

C.
The volume of Earth's moon is approximately five times the volume of Earth.

D.
The volume of Earth is approximately fifty times the volume of Earth's moon.

Answer 1

To find out which statement is true, we can compare the volumes of the Earth and its moon directly.

1. The volume of Earth is approximately \(1 \times 10^{12}\) cubic kilometers.
2. The volume of Earth's moon is approximately \(2 \times 10^{10}\) cubic kilometers.

To determine how many times the volume of the moon fits into the volume of the Earth, we can calculate the ratio:

\[ \text{Ratio} = \frac{\text{Volume of Earth}}{\text{Volume of Moon}} = \frac{1 \times 10^{12}}{2 \times 10^{10}} = \frac{1}{2} \times 10^{2} = \frac{1}{2} \times 100 = 50 \]

Thus, the volume of the Earth is approximately 50 times the volume of the Moon.

So, the correct statement is:

D. The volume of Earth is approximately fifty times the volume of Earth's moon.