text: # SOLUTION: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of t
  
  Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of t      Log On
  
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   Question 194905: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of the box in terms of the length.Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of the box in terms of the length. ; Let x = the length : It says,"A box is to be constructed so that its height is twice its length" 2x = the height : and "its width is 2 inches less than the length." (x-2) = the width : Give a complete description of the function giving the volume of the box in terms of the length. : Vol = length * height * width V = x * 2x * (x-2) V = 2x^2 * (x-2) V(x) = 2x^3 - 4x^2, the vol in terms of x (which is the length)