Question: 17. A open-top box is to be constructed from a piece of cardboard by cutting congruent squares from the corners and then folding up the


17. A open-top box is to be constructed from a piece of cardboard by cutting congruent squares from the corners and then folding up the sides. The dimensions of the cardboard are shown. X X 32 cm 40 cm a) Express the volume of the box as a function of x. b) Write an equation that represents the box with volume i) twice the volume of the box represented by the function in part a) ii) half the volume of the box represented by the function in part a) c) How are the equations in part b) related to the one in part a)? d) Use your function from part a) to determine the values of x that will result in boxes with a volume greater than 2016 cm
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