3.115 Suppose you are given a cube made of magnesium (Mg)metal of edge length 1.0 cm. (a) Calculate the numberof Mg atoms in the cube. (b) Atoms are spherical inshape. Therefore, the Mg atoms in the cube cannot fill allthe available space. If only 74 percent of the space insidethe cube is taken up by Mg atoms, calculate the radiusin picometers of an Mg atom. (The density of Mg is1.74 g/cm3, and the volume of a sphere of radius r is

3.115 Suppose you are given a cube made of magnesium (Mg)metal of edge length 1.0 cm. (a) Calculate the numberof Mg atoms in the cube. (b) Atoms are spherical inshape. Therefore, the Mg atoms in the cube cannot fill allthe available space. If only 74 percent of the space insidethe cube is taken up by Mg atoms, calculate the radiusin picometers of an Mg atom. (The density of Mg is1.74 g/cm3, and the volume of a sphere of radius r is

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