Question
The density of silver is 10.49 g/cm3 . If a sample of silver has a volume of 0.2 m3 , what is the mass of the sample?(1 point)
g
g
Answers
GPT-4o mini
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**.
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
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**.