. Smita made a cube of size 5*5*5 by using smaller cubes of 1*1*1. She created solid larger cube then she decided to make a hollow cube of the same size, can you find out how many 1*1*1 cubes will she require make hollow larger cube?

• 5^3-3^3 = 125 -27 = 98 cubes are required.
• 12 years agoHelpfull: Yes(17) No(2)
• @ Jasvir and Swati,
  
  Pls check.
  If u want to make a hollow cube of 5x5 from a solid 5x5 cube, you have to remove a 3x3 cube from inside the solid cube.
  so
  5^3-3^3 = 125 -27 = 98 cubes are required.
• 12 years agoHelpfull: Yes(5) No(0)
• Total no of Cubes is=(5*5*5)-(4*4*4)=61
• 12 years agoHelpfull: Yes(4) No(9)
• i can't understand clearly plz explain in detail from where this 3^3 comes
• 12 years agoHelpfull: Yes(2) No(1)
• @garima
  If i want to make a hollow cube of 7*7 from a solid 7*7 cube,then how many cube are needed to remove a from inside the solid cube? plz give me a answer
  
• 12 years agoHelpfull: Yes(1) No(0)
• total no. of cube=(5^3)-(3^3)=98
• 12 years agoHelpfull: Yes(1) No(0)
• @garima is right
  i explain it .....
  hollow cube means not internal part of the cube is filled, cubes at only edges in hollow cube so in 5*5*5 size cube internal 3*3*3 cubes are not touched to main cube edges so we can remove these edges
  
  @jasveer
  you tell about 7*7*7 cube
  7*7*7-5*5*5
  just subtract two(one one for each side edges)
• 12 years agoHelpfull: Yes(1) No(0)
• garima why you subtract 125-27and from where 3^3comes
  
• 12 years agoHelpfull: Yes(0) No(1)
• atul
  If i want to make a hollow cube of 7*7 from a solid 7*7 cube,then how many cube are needed to remove a from inside the solid cube? plz give me a answer
• 12 years agoHelpfull: Yes(0) No(0)
• can u explain the idea behind this solution..?????
  plz..
• 12 years agoHelpfull: Yes(0) No(0)
• plzz explain it clearly..
• 12 years agoHelpfull: Yes(0) No(0)