Chemistry Conversions: Need help, please?

Question

The density of lead is 11.4g/cm3. What is the volume and mass of a cube of lead measuring 20.0mm on each side? I know how to solve when given 2 components, but not when I need to solve for BOTH mass and volume. Could you somehow show the conversions done to show how you got answer?

Answer 1

You have what you need to calculate the volume. You have the length, width, and height of the cube, since it measures 20.0 mm on each side.

Change mm to cm by dividing by 10 (10 mm = 1 cm).

The cube is 2 cm X 2 cm X 2 cm = 8 cm^3

D = m/v so m = Dv

m = 11.4 g/cm^3 X 8.00 cm^3

the units cm^3 cancel out and you are left with 91.2 g.