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 = 0.2 m³
First, we need to convert the volume from cubic meters to cubic centimeters because the density is given in grams per cubic centimeter:
\[ 1 , \text{m}^3 = 1,000,000 , \text{cm}^3 \]
So,
\[ 0.2 , \text{m}^3 = 0.2 \times 1,000,000 , \text{cm}^3 = 200,000 , \text{cm}^3 \]
Now, using the density and the converted volume, we can find the mass:
\[ \text{Mass} = 10.49 , \text{g/cm}^3 \times 200,000 , \text{cm}^3 \]
Calculating this gives:
\[ \text{Mass} = 10.49 \times 200,000 = 2,098,000 , \text{g} \]
So, the mass of the sample is approximately 2,098,000 g.