To calculate the mass of the silver sample, you can use the formula:
\[ \text{Mass} = \text{Density} \times \text{Volume} \]
Given:
- Density of silver = 10.49 g/cm³
- Volume of silver = 0.2 m³
First, convert the volume from cubic meters to cubic centimeters (since the density is given in g/cm³): 1 m³ = 1,000,000 cm³, so:
\[ 0.2 , \text{m}^3 = 0.2 \times 1,000,000 , \text{cm}^3 = 200,000 , \text{cm}^3 \]
Now, substitute the values into the mass formula:
\[ \text{Mass} = 10.49 , \text{g/cm}^3 \times 200,000 , \text{cm}^3 \]
\[ \text{Mass} = 2,098,000 , \text{g} \]
Therefore, the mass of the silver sample is 2,098,000 grams.