the sum of the length of all the edges of a rectangular box is 12 cm. if the total surface area of the box is 5 sq cm , then lenght of its daigonal is

• Let x , y and z be its dimensions
  
  (4x + 4y + 4z) = 12
  => (x + y + z) = 3
  
  (2xy + 2yz + 2zx) = 5
  
  Length of diagonal = sqrt (x^2 + y^2 + z^2)
  = sqrt [ (x + y + z)^2 - (2xy + 2yz + 2zx) ]
  = sqrt [ 9 - 5 ]
  = 2 cm
  
• 12 years agoHelpfull: Yes(3) No(1)