Step 1: Calculate the volume of the cube from the given length
The length of the side of the cube, a = 50 mm = 5 cm (since 10 mm = 1 cm)
Volume of the cube = [tex]a^{3} = 5^{3} = 125 cm^{3}[/tex]
Step 2: Calculate the density from the known mass and calculated volume
It is given that the mass of the cube = 115 grams
Now, density of a given substance is the amount of that substance present in a unit volume
density = mass/volume = 115 grams/125 cm3 = 0.920 g/cm3