Question

The volume of the moon is about 2.0 x 1010 cubic km. The volume of the Earth is about 1.0 x 1012 cubic km. About how many moon volumes could it inside of the volume of the Earth?​

Answer 1

50

Explanation:

`(1.0 * 10^(12))/(2.0 * 10^(10))=50`

Answer 2

50

Explanation:

Given:

• Volume of the Moon = 2.0 × 10¹⁰ km³

• Volume of the Earth = 1.0 × 10¹² km³

To find how many Moon volumes could fit inside of the volume of the Earth, divide the given volume of the Earth by the given volume of the Moon:

`\sf \implies (1.0 * 10^(12))/(2.0 * 10^(10))`

Separate:

`\sf \implies (1.0)/(2.0) * (10^(12))/(10^(10))`

`\textsf{Apply the Quotient Rule of exponents} \quad (a^b)/(a^c)=a^(b-c):`

`\sf \implies 0.5 * 10^(12-10)`

`\sf \implies 0.5 * 10^(2)`

Simplify:

`\implies \sf 0.5 * 10 * 10`

`\implies \sf 5 * 10`

`\implies \sf 50`

Therefore, 50 Moon volumes could fit inside the volume of the Earth.