Final answer:
To find the mass of the solid metal cube, multiply the volume of the cube by its density. The volume can be calculated by cubing the edge length of the cube. The mass of the cube is (8.60 cm)^3 x 11.4 g/cm^3.
Step-by-step explanation:
The mass of a solid metal cube can be found using the formula:
mass = density x volume
Given that the edge length of the cube is 8.60 cm and the density is 11.4 g/mL, we can calculate the volume of the cube by cubing the edge length:
volume = (8.60 cm)^3
Once we have the volume, we can multiply it by the density to find the mass of the cube. The mass of the cube is therefore mass = (8.60 cm)^3 x 11.4 g/mL. We can convert the units using the conversion factor 1 mL = 1 cm^3, which means 11.4 g/mL = 11.4 g/cm^3. Substituting the values, the mass of the cube is:
mass = (8.60 cm)^3 x 11.4 g/cm^3