what is the density of this metal in g/cm^3?

Question

a sample metal has a mass of 22.22 g and a volume of 4.20 mL

Answer 1

Density is found by dividing the mass by the volume or D = M/V. The twist to this type of problem is recognizing that 1 ml = 1 cm³. They are the same so now the problem is quite simple:

D = (22.22g)/(4.20cm³) Notice the unit ml was replaced with cm³.

Therefore D = 5.290476 g/cm³ or in correct significant figures 5.29 g/cm³.

On a side note sometimes the question will ask if it floats in water. Remember water's density is

1.00 g/ml or 1.00 g/cm³. If the object's density is less than water's it will float. if it is greater than it will sink. So in this case it would sink.