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M6LE3 Hand-In Assignment Instructions: Open a new word processing document and provide your response to the probiem presented beiow. You may use any of the

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M6LE3 Hand-In Assignment Instructions: Open a new word processing document and provide your response to the probiem presented beiow. You may use any of the caicuiation methods introduced in this LE to support your work. Be sure to show your work clearly. Remember to save your work when done as you wiii be submitting it to your teacher for assessment. The Problem You are given a piece of cardboard that is 6 inches by 4 inches. You would like to cut equalsized squares out of each of the 4 corners and fold the cardboard in such a way to make an open-top rectangular box. Part A: Complete the table below: Length of _ Square Cut, Length of Box Width of Box I (inches) ( inches} (inches) Volume of Box, V (cubic inches) 0.25 0.50 0.90 1.40 1.80 Part B: Questions Consider the function that is dened to be the volume, V, of the box created from cutting the cardboard corners into squares of length I. 1. What are the possible values of I? 2. What is the dependent and independent variable? 3. Using I and V, nd a cubic function of best fit. 4. To maximize the volume of the box, what should be the side length of the corner squares? Save your work using the filename: M6LE3_assign_username.docx (Change the word username to your Blackboard username)

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