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# Using Polynomial Functions to Maximize Volume. (graphing calculator required)

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Students will decode a joke by following the given set of directions...

You are given a rectangular piece of sheet metal that must have a perimeter of 60 inches. For problems 1-4, you will convert this piece of sheet metal into a square prism. For problems 5-7, you will convert the metal into an equilateral, triangular prism. For problems 8-10, you will convert this rectangular sheet metal into a cylinder. (Assume you will attach a base to each at a later time to hold water).

Students will maximize the amount of volume given the perimeter of a piece of sheet metal, find the real-life domain of each problem, and find what value for "x" on each diagram that will eventually maximize the volume. Students will need to use the "maximum value" option on a graphing calculator to find the maximum volumes.

This is created by Matt Lora at Value Added Publishing. Our store link is ...
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3
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Teaching Duration
45 Minutes

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