If x=y=2z and xyz=256 then what is the value of x?

(a)12

(b)8

(c)16

(d)6

• XYZ=256
  (2Z)(2Z)Z=256
  4Z^3=256
  Z^3=64
  Z^3=4^3
  SO Z=4
  AS X=2Z
  X=8
• 13 years agoHelpfull: Yes(14) No(0)
• as x=y
  x=2z therefore z=x/2
  put these values in equation x*x*x/2 =256
  x^3= 512
  x=8
• 13 years agoHelpfull: Yes(3) No(0)
• Given x=y=2z
  put this in xyz=256
  therefore (2z)(2z)z=256
  4z^3=256
  z^3=64
  z=4
  therefore x=2(4)=8
  The value of x is 8
• 13 years agoHelpfull: Yes(3) No(0)
• xyz=256 and value of x n y is 2z therefore substituting in xyz
  after substitution we get 4*z*z*z=256
  z=4
  x=2*z=2*4=8
  hence option b
• 13 years agoHelpfull: Yes(1) No(0)
• Anser is b.
  
  X*X*X/2=256. i.e. x^3=512 i.e. x^3=8^3
• 13 years agoHelpfull: Yes(0) No(0)
• opttion b
  4z^3=256
  z^3=64
  z=4
  then x=2*4=8
• 13 years agoHelpfull: Yes(0) No(0)
• given that x=y=2z then we can write as x=2z,y=2z
  then substitute in given condition xyz=256
  4z^3=256---->z=4
  x=2z=2*4=8
  option 2
• 13 years agoHelpfull: Yes(0) No(0)
• X=Y=2Z .... (1)
  XYZ=256 ..... (2)
  put value of X and Y From eqn (1) in equ (2)
  so 2Z*2Z*Z=256
  so Z=4
  and X=8
  ans is (b).
• 11 years agoHelpfull: Yes(0) No(0)
• Ans b) 8
  2z*2z*z=256
  4z^3=256
  z^3=64
  z=4
  x=2z
  x=2*4
  x=8
• 10 years agoHelpfull: Yes(0) No(0)
• xyz=256
  =>x^3=2^9
  =>x=8
• 10 years agoHelpfull: Yes(0) No(0)
• 8
  x.x.x/2=256
  or,x=4.2=8
• 9 years agoHelpfull: Yes(0) No(0)
• x=2z
  y=2z
  xyz=256
  4z^3=256
  z=4
  x=8(Ans)
• 9 years agoHelpfull: Yes(0) No(0)
• answer (b) 8
  solution:
  x=y=2z ---------(1)
  xyz=256 ---------(2)
  put the value of x and y from 1 in eqtn 2
  2z*2z*z=256
  4z^3=256
  z^3=256
  z=4
  x=2z
  so x=y=8
  
• 9 years agoHelpfull: Yes(0) No(0)
• condition = x=y=2z
  x=y........condition(1) ; x/2=z..........condition(2) ;
  
  given: xyz = 256
  
  replace y,z values by x;
  
  x*x*x/2 = 256;
  x^3 = 512;
  x^3 = 8^3
  x=8;
  
• 9 years agoHelpfull: Yes(0) No(0)
• xyz=256
  (2z)(2z)z=256
  4z^3=256
  z^3=64
  z^3=4^3
  z=4
  x=2z
  x=2(4)
  x=8
• 4 years agoHelpfull: Yes(0) No(0)