The volume of the Moon is about 2.18 x 10^10

Question

cubic kilometers. The volume of Earth is about 1.09 x 10^12
cubic kilometers. The number of Moons that can fit inside Earth can be found by dividing Earth's volume by the Moon's volume. About how many Moons can fit inside Earth?

Answer 1

To determine how many Moons can fit inside Earth, you need to divide the volume of Earth by the volume of the Moon.

Given:

• Volume of the Moon \( V_{\text{Moon}} = 2.18 \times 10^{10} \) cubic kilometers
• Volume of Earth \( V_{\text{Earth}} = 1.09 \times 10^{12} \) cubic kilometers

The calculation is as follows:

\[ \text{Number of Moons} = \frac{V_{\text{Earth}}}{V_{\text{Moon}}} = \frac{1.09 \times 10^{12}}{2.18 \times 10^{10}} \]

Now, performing the division:

1. Convert both numbers to the same power of ten:

\[ \frac{1.09 \times 10^{12}}{2.18 \times 10^{10}} = \frac{1.09}{2.18} \times \frac{10^{12}}{10^{10}} = \frac{1.09}{2.18} \times 10^{2} \]

2. Calculate \( \frac{1.09}{2.18} \):

\[ \frac{1.09}{2.18} \approx 0.500 \]

3. Multiply this by \( 10^{2} \):

\[ 0.500 \times 10^{2} = 50.0 \]

Therefore, about 50 Moons can fit inside Earth.