Answer :
To find the volume of a bar of gold with a mass of 38.6 grams and a density of 193 grams per cubic centimeter (g/cm³), we can use the formula for volume, which relates mass and density:
[tex]\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \][/tex]
Here are the steps:
1. Identify the mass and density:
- The mass of the gold bar is given as 38.6 grams.
- The density of gold is given as 193 grams per cubic centimeter.
2. Use the volume formula:
- Plug the values into the formula:
[tex]\[ \text{Volume} = \frac{38.6 \, \text{g}}{193 \, \text{g/cm}^3} \][/tex]
3. Calculate the volume:
- When you divide 38.6 grams by 193 grams per cubic centimeter, you obtain approximately 0.2 cubic centimeters.
Thus, the volume of the gold bar is approximately 0.2 cm³.
[tex]\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \][/tex]
Here are the steps:
1. Identify the mass and density:
- The mass of the gold bar is given as 38.6 grams.
- The density of gold is given as 193 grams per cubic centimeter.
2. Use the volume formula:
- Plug the values into the formula:
[tex]\[ \text{Volume} = \frac{38.6 \, \text{g}}{193 \, \text{g/cm}^3} \][/tex]
3. Calculate the volume:
- When you divide 38.6 grams by 193 grams per cubic centimeter, you obtain approximately 0.2 cubic centimeters.
Thus, the volume of the gold bar is approximately 0.2 cm³.
