From a rectangular piece of cardboard having dimensions W = 18 and L = 40 an open box is to be made by cutting out identical squares of area x² from each corner and turning up the sides (see Illustration). Find all positive values of x such that the volume of the box V ( x ) 0. Include only allowable values of x in your answer. A) $( 0,9 )$ B) $( 0,9 ) \cup ( 20 , \infty )$ C) $( 0,20 )$ D) $( - \infty , 9 ) \cup ( 20 , \infty )$ E) $( 0 , \infty )$

Question

From a rectangular piece of cardboard having dimensions W = 18 and L = 40 an open box is to be made by cutting out identical squares of area x² from each corner and turning up the sides (see Illustration). Find all positive values of x such that the volume of the box V ( x ) > 0. Include only allowable values of x in your answer. A) $( 0,9 )$ B) $( 0,9 ) \cup ( 20 , \infty )$ C) $( 0,20 )$ D) $( - \infty , 9 ) \cup ( 20 , \infty )$ E) $( 0 , \infty )$

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The Answer of From a rectangular piece of cardboard having dimensions W = 18 and L = 40 an open box is to be made by cutting out identical squares of area x² from each corner and turning up the sides (see Illustration). Find all positive values of x such that the volume of the box V ( x ) > 0. Include only allowable values of x in your answer. A) $( 0,9 )$ B) $( 0,9 ) \cup ( 20 , \infty )$ C) $( 0,20 )$ D) $( - \infty , 9 ) \cup ( 20 , \infty )$ E) $( 0 , \infty )$

From a Rectangular Piece of Cardboard Having Dimensions W = (0,9)( 0,9 )(0,9)

From a Rectangular Piece of Cardboard Having Dimensions W = $( 0,9 )$