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A cube is cut into 125 pieces of equal volume. (a) What is the ratio the...

A cube is cut into 125 pieces of equal volume.
(a) What is the ratio the length of a side of the smaller cube to that of the original cube? Express you answer in decimal form.
  
(b) What is the ratio of the surface area of the smaller cube to that of the original cube?
  
(c) What is the ratio of the surface area of all the smaller cubes to that of the original cube?
  
(d) Repeat part (b) but this time consider one large sphere and 125 smaller spheres of equal volume such that the sum of their volumes equals that of the large sphere.
  

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