Directions: Use a calculator or Desmos to help you solve the following problem. Round answers to the hundredths place when necessary. An open top box is constructed by cutting congruent squares from the corners of a 24" by 16" piece of cardboard and then folding up the remaining cardboard along the dotted lines. Let x represent the length of the squares that are removed as shown in the figure below. a) What is the equation of the volume of the box in factored form? Volume %D b) What are the realistic domain values for this function? c) What length square should be removed from the corners to maximize the volume of the box? inches

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