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
. If a sample of silver has a volume of 0.2 m3
, what is the mass of the sample?(1 point)
g
Answers
GPT-4o mini
To calculate the mass of the silver sample, we can use the formula:
\[
\text{mass} = \text{density} \times \text{volume}
\]
First, we need to convert the volume from cubic meters to cubic centimeters, since the density is given in grams per cubic centimeter.
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 we can use the density of silver:
\[
\text{density of silver} = 10.49 \, \text{g/cm}^3
\]
Now, we can calculate the mass:
\[
\text{mass} = 10.49 \, \text{g/cm}^3 \times 200,000 \, \text{cm}^3 = 2,098,000 \, \text{g}
\]
So, the mass of the silver sample is **2,098,000 grams**.
\[
\text{mass} = \text{density} \times \text{volume}
\]
First, we need to convert the volume from cubic meters to cubic centimeters, since the density is given in grams per cubic centimeter.
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 we can use the density of silver:
\[
\text{density of silver} = 10.49 \, \text{g/cm}^3
\]
Now, we can calculate the mass:
\[
\text{mass} = 10.49 \, \text{g/cm}^3 \times 200,000 \, \text{cm}^3 = 2,098,000 \, \text{g}
\]
So, the mass of the silver sample is **2,098,000 grams**.