Lecture_18 - 1 Example A rectangular box without lid is to...

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Unformatted text preview: 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . What is the maximum volume? 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . What is the maximum volume? Analysis • Suppose the side is x . 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . What is the maximum volume? Analysis • Suppose the side is x . • Can express length, width and height in terms of x . 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . What is the maximum volume? Analysis • Suppose the side is x . • Can express length, width and height in terms of x . • Can express volume V in terms of x . 1 Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding up the sides. Find the length of the side of the square that must be cut off if the volume of the box is to be maximized . What is the maximum volume? Analysis • Suppose the side is x . • Can express length, width and height in terms of x ....
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Lecture_18 - 1 Example A rectangular box without lid is to...

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