The rectangle box with square base is open at the top.The maximum volume of the box made from 1200 m2 tin,in m3 is:
A)2000 B)2500 C)3000 D)4000

• Let the length be x and the breadth be y.
  Now since it has a square base;
  x=y
  Now the surface area can be given as S= x^2+4xy (Area of square base + Area of Sides)
  And Volume can be given as V = x^2y
  ATQ, S=1200,so 1200=X2+4xy
  y=(1200-x2)/4x
  Now for V to be max
  V'=0
  V'(x)=x2y
  Solving for x we get x=20
  Now y=20m
  Hence volume is 20x20x10=4000 m
• 7 years agoHelpfull: Yes(2) No(1)