Please convert 5.5kg/m cube to g/cm cube

Physics

ScanSolve AI Answer

Answer

0.0055gcm30.0055 \frac{\text{g}}{\text{cm}^3}

Step-by-step solution

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

    We know that 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}.
    So, we multiply the given value by the conversion factor 1000 g1 kg\frac{1000 \text{ g}}{1 \text{ kg}}.

    5.5kgm3×1000 g1 kg=5500gm35.5 \frac{\text{kg}}{\text{m}^3} \times \frac{1000 \text{ g}}{1 \text{ kg}} = 5500 \frac{\text{g}}{\text{m}^3}
  2. Convert cubic meters (m3\text{m}^3) to cubic centimeters (cm3\text{cm}^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.
    So, we multiply the current value by the conversion factor 1 m31,000,000 cm3\frac{1 \text{ m}^3}{1,000,000 \text{ cm}^3}.

    5500gm3×1 m31,000,000 cm35500 \frac{\text{g}}{\text{m}^3} \times \frac{1 \text{ m}^3}{1,000,000 \text{ cm}^3}
  3. Perform the final calculation.

    55001,000,000gcm3=0.0055gcm3\frac{5500}{1,000,000} \frac{\text{g}}{\text{cm}^3} = 0.0055 \frac{\text{g}}{\text{cm}^3}

    The converted value is 0.0055gcm30.0055 \frac{\text{g}}{\text{cm}^3}.

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