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A sheet of glass has a density of 2.5 gcm3\frac{2.5\,\text{g}}{\text{cm}^3}. What is the density of the glass in kgm3\frac{\text{kg}}{\text{m}^3}?

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Q. A sheet of glass has a density of 2.5 gcm3\frac{2.5\,\text{g}}{\text{cm}^3}. What is the density of the glass in kgm3\frac{\text{kg}}{\text{m}^3}?
  1. Convert units to kilograms: Convert the density from grams per cubic centimeter to kilograms per cubic meter.\newlineSince 11 gram =0.001= 0.001 kilograms and 11 cubic centimeter =0.000001= 0.000001 cubic meters, we multiply the given density by the conversion factors.\newline2.5gcm3×0.001kg1g×1,000,000cm31m3=2.5×0.001×1,000,000kgm32.5\frac{g}{cm^{3}} \times \frac{0.001 kg}{1 g} \times \frac{1,000,000 cm^{3}}{1 m^{3}} = 2.5 \times 0.001 \times 1,000,000 \frac{kg}{m^{3}}
  2. Perform multiplication: Perform the multiplication to find the density in kilograms per cubic meter. 2.5×0.001×1,000,000=2500 kg/m32.5 \times 0.001 \times 1,000,000 = 2500 \, \text{kg/m}^{3}

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