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MA220Lesson4Notes

MA220Lesson4Notes - MA 220 Lesson 4 Notes You will need to...

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MA 220 Lesson 4 Notes You will need to remember the following formulas for this lesson. Area of a rectangle: A wL (Area = length width) Volume of a rectangular prism (box): V LwH (Volume = length width height) Ex 1: a) Represent the volume of a box that is n inches high, n + 3 inches wide, and n + 8 inches long. Write as a function of n . b) Evaluate the volume when n is 3. c) Represent the area of the base of the box as a function of n ( A ( n )). Find the area when n is 3. d) Write a function of n to represent the area of the base if the length and width are both increased by 3. Show that this is the same as A ( n + 3), using your function from part (c).
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Ex 2: a) Write a polynomial function V ( x ) to represent the volume of the box below. b) Evaluate the volume of the box above if x is 4. c) Write a polynomial function A ( x ) to represent the area of the bottom of the box and evaluate that area if x is 12. d): Write a polynomials function to represent the area of the bottom of the box if the length and width both increase by 3 units. Evaluate ( 3) A x . Notice anything?
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