One component of a metal sculpture consists of a solid cube with an edge of length 27.3 cm. The alloy used to make the cube has a density of 6990 kg/m3. Find the cube's mass.

Answer 1

We can do this using dimensional analysis. In the set up we will convert cm to cm^3 by cubing the value and convert m/cm to m^/cm^3 in the same way.

(6990 kg/m^3) (1 m/100 cm)^3 (27.3 cm)^3 = 142.2 = 142 kg