2. Find the minimum number of cubes with which one can construct a cube of dimension 25m x 20m x 15m

a) 12
b) 20
c) 25
d) 17

• first of all please correct your question ..beacuse length,height and width are always same in cube
• 11 years agoHelpfull: Yes(21) No(0)
• asit please answer the dimension of small cube.
  i think 25*20*15 it should div by small cube i.e 5
  if we take 5 then 60 cube required.
  
• 11 years agoHelpfull: Yes(9) No(1)
• Is The Answer 20
• 11 years agoHelpfull: Yes(7) No(1)
• ans is 12.
  25x20x15=7500
  if we factorize it, we get (2^2)*(3)*(5^4)
  Hence min no.of cubes required are 12 of dimension 25mX5mX5m
• 11 years agoHelpfull: Yes(4) No(7)
• C.25 because volume=7500 => 7500/25=300
• 11 years agoHelpfull: Yes(2) No(1)
• whats the ans ? my ans is 25
  25*20*15= (5^4)*(2^2)*(3^1)=7500
  total factors of 7500=(4+1)*(2+1)*(1+1)=30
  now total no. of cubes would be 30-5 =25
  here 5 cubes are subtracted because 6 cubes will have same dimensions of 25m,20m,15m therefore considered only one.
  
• 11 years agoHelpfull: Yes(2) No(0)
• It cant be a cube... as l*b*h is not same.. Are u kidding me..!
• 11 years agoHelpfull: Yes(2) No(0)
• according to option given it will be 17
  17^3=4913 and the given vol of cuboid is 7500
  no other option satisfies this as if we consider 12 then the no of cube will be more according to question it should be minimum.
  
  ans is 17
• 11 years agoHelpfull: Yes(1) No(0)
• can any one solve this...
• 11 years agoHelpfull: Yes(0) No(0)
• akshata how you got 12?
  
• 11 years agoHelpfull: Yes(0) No(0)
• i donot get it.....plse expain it again plse
  
• 11 years agoHelpfull: Yes(0) No(0)
• Firstly we had to find out length of a side of cube as cube will be made with cuboids having dimensions 25*20*15 so length of cube is=L.C.M.(25,20,15)=300.
  so volume of such formed cube=300^3.
  now volume of given cuboid is =25*20*15
  therefore no. of cuboid required is (300^3)/(25*20*15)=3600 cuboids required.
  so all options mentioned above are unfortunately wrong.
• 11 years agoHelpfull: Yes(0) No(1)
• Lol i think since smallest number is given,
  20 cubes of 25m x 15m are required. But question is mistaken !!!
• 11 years agoHelpfull: Yes(0) No(0)
• Ans is a...
  Bciz 25*20*15=7500
  It is divisible by 12 which is min..
• 10 years agoHelpfull: Yes(0) No(0)