Smita was making 1 design (again some nonsense) size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube .Then she decided to make hollow cube of same size. Then how many 1*1*1 cubes required to make hollow larger cube.

• For making a solid cube you require 5*5*5=125 cubes;
  now for a hollow one, you have to remove a 3*3*3=27 cubes from the core of solid cobe. therefore required cubes for hollow one is 125-27=98 cubes :)
• 10 years agoHelpfull: Yes(20) No(1)
• Required Cubes = n^3-(n-2)^3.
  Here n = 5/1 =5
  5^-(5-2)^3= 125-27=98...
• 10 years agoHelpfull: Yes(15) No(1)
• first we create the base 5*5=25;
  then we create the any opposite sides 2*4*5=40;
  then the remaining two sides 2*3*4=24;
  then the ceiling which is =3*3=9;
  all adding we get answer=98;
  and the second method is
  
  
  all 6 faces adding its area we get=6*5*5=150;
  subtracting the 12 edges's boxes from this final ans=150-(12*5)=90;
  now adding the 8 corners=90+8=98;
  
  
• 10 years agoHelpfull: Yes(8) No(16)
• Sumit Sinha
  why you have written 'for a hollow one, you have to remove a 3*3*3=27 cubes from the core of solid cube'.....plz explain
• 10 years agoHelpfull: Yes(1) No(0)
• 5*5*5-3*3*3=98
• 10 years agoHelpfull: Yes(1) No(0)