a cuboid has a volume of 64cubic units. find the minimum possible values of the sum of the lengths of the edges of the cuboid.

• lakshmi reddy (3 Min ago)
  [lakshmi reddy]
  volume of cuboid=l*b*h=64 cubic units
  sum of lengths of edges of the cuboid= l+b+h
  the minimum possible values of l, b, h are 4, 4 and 4 respectively
  l*b*h=4*4*4=64
  So, l+b+h=4+4+4=12.....Hence Answer is 12
• 12 years agoHelpfull: Yes(4) No(0)
• answer is 48
  explanation:
  l*b*h=64 is given
  and we have to minimize 4*l+4*b+4*h i.e 4(l+b+h) (since there are 4 lengths , 4 breadths and 4 heights)
  so, in order to minimize we can use the A.M >= G.M method meaning by, that arithmetic mean of n numbers is always greater than or equal to their geometric mean....
  so, A.M of l,b,h >= G.M of l,b,h
  => (l+b+h)/3 >= (l*b*h)^(1/3) (since G.M is cube root of l*b*h
  => l+b+h >= 12 (since l*b*h=64 which is given)
  therefore, 4(l+b+h) >= 48
  hence minimum value of the sum of the lengths of the edges of the cuboid is 48.
• 12 years agoHelpfull: Yes(4) No(0)
• lakshmi reddy (3 Min ago)
  [lakshmi reddy]
  volume of cuboid=l*b*h=64 cubic units
  sum of lengths of edges of the cuboid= l+b+h
  the minimum possible values of l, b, h are 4, 4 and 4 respectively
  l*b*h=4*4*4=64
  So, l+b+h=4+4+4=12.....Hence Answer is 12
• 12 years agoHelpfull: Yes(1) No(0)
• lakshmi reddy (3 Min ago)
  [lakshmi reddy]
  volume of cuboid=l*b*h=64 cubic units
  sum of lengths of edges of the cuboid= l+b+h
  the minimum possible values of l, b, h are 4, 4 and 4 respectively
  l*b*h=4*4*4=64
  So, l+b+h=4+4+4=12.....Hence Answer is 12
• 12 years agoHelpfull: Yes(1) No(0)
• lakshmi reddy (3 Min ago)
  [lakshmi reddy]
  volume of cuboid=l*b*h=64 cubic units
  sum of lengths of edges of the cuboid= l+b+h
  the minimum possible values of l, b, h are 4, 4 and 4 respectively
  l*b*h=4*4*4=64
  So, l+b+h=4+4+4=12.....Hence Answer is 12
• 12 years agoHelpfull: Yes(1) No(0)
• volume of cuboid=l*b*h=64 cubic units
  sum of lengths of edges of the cuboid= l+b+h
  the minimum possible values of l, b, h are 4, 8 and 2 respectively
  l*b*h=4*8*2=64
  So, l+b+h=4+8+2=14.....Hence Answer is 14
• 12 years agoHelpfull: Yes(0) No(2)
• it has 12 edges. minimum value of edge is 4.
  so, the minimum possible values of sum of the length of 12 edges are 12*4=48
• 12 years agoHelpfull: Yes(0) No(0)
• 12
  because volume of cuboid is = a(cube)
  hence a=4.
  There are maximum 3 edges.
• 9 years agoHelpfull: Yes(0) No(0)