The density of a substance is 676.68 kg/m3. Convert the density to g/cm3.Group of answer choices67668 g/cm36.77 g/cm30.677 g/cm367.7 g/cm3
Question
The density of a substance is 676.68 kg/m3. Convert the density to g/cm3.Group of answer choices67668 g/cm36.77 g/cm30.677 g/cm367.7 g/cm3
Solution
To convert the density from kg/m^3 to g/cm^3, you need to know that:
1 kg = 1000 g 1 m^3 = 1,000,000 cm^3
Here are the steps to convert 676.68 kg/m^3 to g/cm^3:
- Convert the mass from kg to g: 676.68 kg = 676.68 * 1000 g = 676680 g
- Convert the volume from m^3 to cm^3: 1 m^3 = 1,000,000 cm^3
- Divide the mass by the volume to get the density in g/cm^3: 676680 g / 1,000,000 cm^3 = 0.67668 g/cm^3
So, the density of the substance is 0.67668 g/cm^3.
Looking at the answer choices, the closest one is 0.677 g/cm^3. However, this is not exactly correct as it is a rounded value. The exact conversion is 0.67668 g/cm^3.
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