Question: I need help with this question and I need step by step help understand it on my own. Maximizing Volume 7. Consider the figure below

I need help with this question and I need step by step help understand it on my own.

Maximizing Volume 7. Consider the figure below of a square piece of cardboard. You must construct an open box with the given material. The sides measure 36 inches on each side. You must cut 4 equal squares with sides of length x from the corners and turning up the sides. (See figure) a. Write a function V(x) (in standard form) that represents the volume of the box. (4PTS) b. Construct a table that shows the box heights x and the corresponding volumes V(x). Round to one decimal place. (2PTS) X 0 10 11 12 13 14 15 16 17 18 V(x) c. Use the table to estimate the dimensions that produce a maximum volume. . (2PTS) d. Sketch the graph. (2PTS) e. Write down the Domain and the Range for V(x). (4PTS) f. Using a GRAPHING CALCULATOR or DESMOS determine what value of x would give the maximum volume for the open box. Be sure to include any units necessary. .... (2PTS) g. What is the maximum volume that you can create with the given material? .. (2PTS)

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