A cube of gold has a side length of 1.55 cm. If the sample is found to have a mass of 71.9 g, find the density of gold.
To find the density of gold, we need to divide the mass of the sample by its volume.
The volume of a cube is calculated by taking the length of one side and cubing it. In this case, the volume of the gold cube is (1.55 cm)^3 = 3.715375 cm^3.
Next, we divide the mass of the gold cube (71.9 g) by its volume (3.715375 cm^3):
density = mass / volume
density = 71.9 g / 3.715375 cm^3
Calculating this division gives us a density of gold of approximately 19.36 g/cm^3.