The metric system has just one unit for mass: the gram (g). Kilo- is a prefix that means 1000, so a kilogram (kg) is 1000 grams. This way you can go to extremely large and small masses without using any other units. All you need is some prefixes.
A meter (m) is a unit of length, not mass.
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Kilograms (kg), grams (g), and milligrams (mg) are all units of mass in the metric system. They are all related by powers of 10 - 1 kg = 1000 g = 1,000,000 mg. These three units allow for easy conversion between different scales of mass.
The correct units for mass are kilograms (kg) and for density are kilograms per cubic meter (kg/m^3).
The units for density are typically expressed in mass divided by volume, such as kilograms per cubic meter (kg/m^3) or grams per cubic centimeter (g/cm^3).
The units for mass density are typically kilograms per cubic meter (kg/m^3) or grams per cubic centimeter (g/cm^3), while the units for volume are cubic meters (m^3) or cubic centimeters (cm^3).
Density is typically measured in units such as grams per cubic centimeter (g/cm^3) for solids and liquids, and kilograms per cubic meter (kg/m^3) for gases.
First convert to standard SI units. 60 g = 0.06 kg 234 cm^3 = 0.000234 m^3 density = mass / volume = 0.06 / 0.000234 = 256 kg/m^3