What is the mass (in kilograms) of a cube of silver that measures 0.68 on each side, when the density of the sample is 10.5g/cm3
0.68 what?
To find the mass of the cube, we can use the formula:
Mass = Density * Volume
First, we need to find the volume of the cube. The volume of a cube can be calculated by raising the length of one side to the power of three.
Volume = Side Length^3
In this case, the side length is 0.68 cm, so the equation becomes:
Volume = (0.68 cm)^3
To convert this volume to cubic meters, we need to convert cm to meters. Since 1 meter is equal to 100 cm, the side length becomes 0.68 cm * (1 m / 100 cm) = 0.0068 m.
Now, we can calculate the volume:
Volume = (0.0068 m)^3
Next, we need to convert the density from grams per cubic centimeter (g/cm^3) to kilograms per cubic meter (kg/m^3). Since 1 g = 0.001 kg and 1 cm = 0.01 m, the density becomes 10.5 g/cm^3 * (0.001 kg / 1 g) * (1 m / 0.01 cm) = 1050 kg/m^3.
Finally, we can plug the values into the mass equation using the calculated volume and density:
Mass = 1050 kg/m^3 * (0.0068 m)^3
Calculating this expression gives you the mass of the cube in kilograms.