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Australian AMC 2011 - Intermediate Question 10

AMC AUSTRALIA · Australian AMC 2011 - Intermediate

Question 10

An $8\times 8\times 8$ hollow cube is constructed from $1\times 1\times 1$ cubes so that its six walls are 1 cube thick. The number of $1\times 1\times 1$ cubes needed to make the hollow cube is
  1. 169
  2. 296
  3. 298
  4. 384
  5. 512