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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 choices

  • 67668 g/cm3
  • 6.77 g/cm3
  • 0.677 g/cm3
  • 67.7 g/cm3
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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:

  1. Convert the mass from kg to g: 676.68 kg = 676.68 * 1000 g = 676680 g
  2. Convert the volume from m^3 to cm^3: 1 m^3 = 1,000,000 cm^3
  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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