(a) Sodium chlorate crystals are easy to grow in the shape of cubes by allowing the solution of water and sodium chlorate to evaporate slowly. If [math] is the volume of such a cube with side length [math], calculate [math] when [math] mm. [Explain what this means.]

(b) Find the rate of change of the volume of the cube with respect to its edge length when the surface area of the cube is 14 square mm.

(a)[math] cubic mm/ mm
(b)[math] cubic mm/mm