Solve the problem. Density = mass/volume.
An object has a total volume of 3 liters (which is 3000 cubic centimeters) and a mass of 2 kilograms (1,000 grams \( =1 \) kilogram). What is its density?
\( 15 \mathrm{~g} / \mathrm{cm}^{3} \)
\( 1.5 \mathrm{~g} / \mathrm{cm}^{3} \)
\( 6.67 \mathrm{~g} / \mathrm{cm}^{3} \)
\( 0.67 \mathrm{~g} / \mathrm{cm}^{3} \)
Answer
Calculate density: \( \text{Density} = \dfrac{2,000 \mathrm{~g}}{3,000 \mathrm{~cm}^{3}} = \dfrac{2}{3} \mathrm{~g} / \mathrm{cm}^{3} = 0.6667 \mathrm{~g} / \mathrm{cm}^{3} \)
Step 1 ：Convert mass to grams: \( 2 \mathrm{~kg} \cdot 1,000 \dfrac{\mathrm{g}}{\mathrm{kg}} = 2,000 \mathrm{~g} \)
Step 2 ：Use the formula for density: \( \text{Density} = \dfrac{\text{mass}}{\text{volume}} \)
Step 3 ：Calculate density: \( \text{Density} = \dfrac{2,000 \mathrm{~g}}{3,000 \mathrm{~cm}^{3}} = \dfrac{2}{3} \mathrm{~g} / \mathrm{cm}^{3} = 0.6667 \mathrm{~g} / \mathrm{cm}^{3} \)
