A cube 2 cm on a side is cut into cubes 1 cm on a side. a.

Question:

A cube 2 cm on a side is cut into cubes 1 cm on a side.
a. How many cubes result?
b. What was the surface area of the original cube and what is the total surface area of the eight smaller cubes? What is the ratio of surface areas?
c. Show that the surface-to-volume ratio of the smaller cube is twice as great as for the single larger cube.