The volume of the Moon is about 2.18x10^10

Question

cubic kilometers. The volume of Earth is about 1.09x10^12
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 find out how many Moons can fit inside Earth, we divide the volume of Earth by the volume of the Moon.

Given:

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

Now, we perform the division:

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

To do the calculation, we can simplify the expression:

\[ \frac{1.09}{2.18} \times \frac{10^{12}}{10^{10}} = \frac{1.09}{2.18} \times 10^{2} = \frac{1.09}{2.18} \times 100 \]

Now, calculating \( \frac{1.09}{2.18} \):

\[ 1.09 \div 2.18 \approx 0.5 \]

Now, multiplying by 100:

\[ 0.5 \times 100 = 50 \]

Therefore, approximately 50 Moons can fit inside Earth.