Question

The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?

Answer 1

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Explanation:

Given:

`V_E = 1 * 10^(12) \text{ km}^3\\V_M = 6 * 10^(10) \text{ km}^3`

`V_E` is the volume of the Earth and
`V_M` is the volume of the Mercury.

Divide volume of the Earth with the volume of Mercury.

`(V_E)/(V_M) = \frac{1 * 10^(12) \text{ km}^3}{6 * 10^(10) \text{ km}^3} = (1 * 10^(2))/(6) = (100)/(6) = (50)/(3) \approx 16.67`

Volume of the Earth is about 16.67 times bigger than Mercury's volume.