【正确答案】
C
【答案解析】Use TACTIC 4. Could the edge be 6? Test it. If each edge is 6, the area of each face is 6 × 6 = 36, and since a cube has 6 faces, the total surface area is 6 × 36 = 216. The volume is 63 = 216. So the quantities could be equal. Eliminate Choices A and B. If you have a sense that this is the only cube with this property, choose C. In fact, if you had no idea how to do this, you might use TACTIC 6, assume that there is only one way, eliminate Choice D, and then guess C. The direct solution is simple enough if you know the formulas. If e is the length of an edge of the cube, then the area is 6e2 and the volume is e3: 6e2 = e3 [*] 6 = e.