Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

• [(3*9*5)-{(3-2)*(9-2)*(5-2)}]
  =114.
• 14 years agoHelpfull: Yes(42) No(4)
• Answer is 114
  Dimensions of big cube = 6 x 18 x 10
  dimensions of small cube = 2 x 2 x 2
  Dimensions of cube leaving the outer layer of large cube (which forms the outer layer of hollow cube) = 2 x 14 x 6
  No. of small cubes for hollow cube = 6*18*10/8 - 2*14*6/8 = 114
  
• 14 years agoHelpfull: Yes(32) No(12)