To calculate the density of an object, you can use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given that the mass of the lead piece is \( 23.94 , \text{grams} \) and the volume is \( 2.10 , \text{cm}^3 \), we first need to convert these measurements into SI units.
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Convert mass from grams to kilograms: \[ 23.94 , \text{grams} = 23.94 , \text{g} \times \frac{1 , \text{kg}}{1000 , \text{g}} = 0.02394 , \text{kg} \]
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Convert volume from cm³ to m³: \[ 2.10 , \text{cm}^3 = 2.10 , \text{cm}^3 \times \left( \frac{1 , \text{m}}{100 , \text{cm}} \right)^3 = 2.10 , \text{cm}^3 \times \frac{1}{1000000} , \text{m}^3 = 2.10 \times 10^{-6} , \text{m}^3 \]
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Now calculate the density: \[ \text{Density} = \frac{0.02394 , \text{kg}}{2.10 \times 10^{-6} , \text{m}^3} \approx 11314.29 , \text{kg/m}^3 \]
Thus, the density of lead in SI units is approximately:
\[ \text{Density} \approx 11314.29 , \text{kg/m}^3 \]
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