Question: A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a 20-cm by 32- cm sheet of cardboard, and

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a 20-cm by 32- cm sheet of cardboard, and then folding up and securing the resulting 'flaps' to be the sides of the box. For any question below that has multiple answers, enter them as a list separated by commas. a. Write a formula that gives the volume of the resulting box in cubic centimeters in terms of x , the varying length of a square cutout in centimeters. V = Preview b. Use a graphing calculator to graph this formula, with V on the vertical axis and x on the horizontal axis. Use your graph to answer the following. i. What is the maximum volume of the box? cm3 Preview ii. What's the side length of the square cutout that achieves this maximum volume in part (b,i)? cm Preview c. Find the volume of the box when the square cutout side length is 1.9 cm. em Preview

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