3 marks] 9. An open-top box is to be constructed from a rectangular piece of cardboard...

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3 marks] 9. An open-top box is to be constructed from a rectangular piece of cardboard measuring 52 cm by 36 cm. The box is created by cutting congruent corners and then folding up the sides. (Use Graphing Technology). a) Express the volume of the box as a function of x. [5 marks] b) Use your function from part a) to determine the value(s) of x, to two decimal places, that will result in a volume that is greater than 3024 cm. c) Determine the dimensions of the box for the volume given in part b). 3 marks] 9. An open-top box is to be constructed from a rectangular piece of cardboard measuring 52 cm by 36 cm. The box is created by cutting congruent corners and then folding up the sides. (Use Graphing Technology). a) Express the volume of the box as a function of x. [5 marks] b) Use your function from part a) to determine the value(s) of x, to two decimal places, that will result in a volume that is greater than 3024 cm. c) Determine the dimensions of the box for the volume given in part b).