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

question 20

Multiple Choice

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 x ² 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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