1. The problem statement, all variables and given/known data A cube of 8cm x 8cm x 8cm is divided into smaller cubes of 1cm x 1cm x 1cm and all the smaller cubes are numbered and arranged to form the larger cube. The smaller cubes are numbered such that the number on the cube represents the smallest volume enclosed by extending the sides of the cube to the outer surface of the largest cube and each cube bears the same number on each surface. Find the sum of the numbers on the cubes along the two body diagonals of the largest cube. 2. Relevant equations Volume of a cube = side*side*side 3. The attempt at a solution I'm not able to visualise what's given in the problem. I need a little push here.