The density of copper is 8.96 g/cm3. A piece of copper that occupies a volume of 2.35 m3 would have a mass of ________ g.

Question

Correct!
3.81 x 102
2.11 x 103
2.11 x 107
3.81 x 106
2.11 x 10

Answer 1

To calculate the mass of a piece of copper given its volume and density, you can use the formula:

\[ \text{mass} = \text{density} \times \text{volume} \]

1. Convert the volume from cubic meters (m³) to cubic centimeters (cm³): \[ 1 , \text{m}^3 = 10^6 , \text{cm}^3 \] So, \[ 2.35 , \text{m}^3 = 2.35 \times 10^6 , \text{cm}^3 \]

2. Now, use the density of copper (8.96 g/cm³): \[ \text{mass} = 8.96 , \text{g/cm}^3 \times 2.35 \times 10^6 , \text{cm}^3 \]

3. Calculate the mass: \[ \text{mass} = 8.96 \times 2.35 \times 10^6 \approx 21.036 \times 10^6 , \text{g} \approx 2.11 \times 10^7 , \text{g} \]

Therefore, the mass of the copper is approximately \( \mathbf{2.11 \times 10^7} , \text{g} \).