Convert 5.5 g/cm cube to kg/m cube

Physics

ScanSolve AI Answer

Answer

5500kgm35500 \frac{\text{kg}}{\text{m}^3}

Step-by-step solution

3 steps
  1. Convert grams (g) to kilograms (kg).

    We know that 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}.
    To convert grams to kilograms, we use the conversion factor 1 kg1000 g\frac{1 \text{ kg}}{1000 \text{ g}}.

    5.5gcm3×1 kg1000 g=5.51000kgcm3=0.0055kgcm35.5 \frac{\text{g}}{\text{cm}^3} \times \frac{1 \text{ kg}}{1000 \text{ g}} = \frac{5.5}{1000} \frac{\text{kg}}{\text{cm}^3} = 0.0055 \frac{\text{kg}}{\text{cm}^3}
  2. Convert cubic centimeters (cm3\text{cm}^3) to cubic meters (m3\text{m}^3).

    We know that 1 m=100 cm1 \text{ m} = 100 \text{ cm}.
    Therefore, 1 m3=(100 cm)3=1003 cm3=1,000,000 cm31 \text{ m}^3 = (100 \text{ cm})^3 = 100^3 \text{ cm}^3 = 1,000,000 \text{ cm}^3.
    To convert cm3\text{cm}^3 in the denominator to m3\text{m}^3, we use the conversion factor 1,000,000 cm31 m3\frac{1,000,000 \text{ cm}^3}{1 \text{ m}^3}.

    0.0055kgcm3×1,000,000 cm31 m30.0055 \frac{\text{kg}}{\text{cm}^3} \times \frac{1,000,000 \text{ cm}^3}{1 \text{ m}^3}
  3. Perform the final calculation.

    0.0055×1,000,000kgm3=5500kgm30.0055 \times 1,000,000 \frac{\text{kg}}{\text{m}^3} = 5500 \frac{\text{kg}}{\text{m}^3}

    The converted value is 5500kgm35500 \frac{\text{kg}}{\text{m}^3}.

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