Calculating Earth Masses in a Planet with Earth-Size and Moon-Density

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To calculate the mass of a planet that is the same size as Earth but has the density of the Moon, one can start by recognizing that the volume of the planet is equivalent to one Earth volume. The key is to compare the densities of Earth and the Moon, as density is defined as mass per unit volume. By using the known density values for both Earth and the Moon, one can derive the mass of the planet in Earth masses. This approach simplifies the problem significantly, making it easier to arrive at the solution. Understanding these relationships is crucial for accurate calculations in planetary science.
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"Earth Masses"

I've been stuck on a problem for a few days now, and I know that it is a lot easier than I am making it out to be. My goal is to find how many Earth masses lie within a planet who has the same size as Earth, and the same density as the moon.

I honestly do not know how to go about this problem. Could anybody give me any guiding tips?
 
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density is mass per unit volume

an object the same size as Earth has the same volume as earth

define your unit volume as one Earth volume
 


compare densities of Earth and moon ... that's almost all in a way! :biggrin:
 

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