4- Convert a density of 800 mathrm(~kg) / mathrm(m)^3 to mathrm(g) / mathrm(cm)^3 ?

To convert the density from \( \mathrm{kg} / \mathrm{m}^{3} \) to \( \mathrm{g} / \mathrm{cm}^{3} \), we need to use the conversion factor \( 1 \mathrm{~kg} = 1000 \mathrm{~g} \) and \( 1 \mathrm{~m}^{3} = 1000000 \mathrm{~cm}^{3} \).<br /><br />Given density: \( 800 \mathrm{~kg} / \mathrm{m}^{3} \)<br /><br />Step 1: Convert kilograms to grams<br />\[ 800 \mathrm{~kg} = 800 \times 1000 \mathrm{~g} = 800000 \mathrm{~g} \]<br /><br />Step 2: Convert cubic meters to cubic centimeters<br />\[ 1 \mathrm{~m}^{3} = 1000000 \mathrm{~cm}^{3} \]<br /><br />Step 3: Divide the mass in grams by the volume in cubic centimeters<br />\[ \frac{800000 \mathrm{~g}}{1000000 \mathrm{~cm}^{3}} = 0.8 \mathrm{~g/cm}^{3} \]<br /><br />Therefore, the density of \( 800 \mathrm{~kg} / \mathrm{m}^{3} \) is equivalent to \( 0.8 \mathrm{~g/cm}^{3} \).