A component of a stone plinth has a square base with corners at coordinates (0,0,0,),(0,2,0),(2,2,0) and (2,0,0). The height of the top surface is defined as z = (1 + x^2 y). (All units m.) If the density of the stone is 6000kg/m3 , calculate, to 2d.p,
a. the mass of the stone block
b. the x and y coordinates of its center of mass.