## [answered] Assignment: Multiplying Polynomials Investigation Arnold is

11/17/2016.? Assignment #1.?Please answer CORRECTLY the questions on the attached assignment sheet.

Assignment: Multiplying Polynomials Investigation

Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local

grocer. Help Arnold decide how much he should cut from each corner of the cardboard to make

an open box for moving.

Part I: Determining Dimensions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an

equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your

task is to label dimensions on a sketch with the same size variable cut from each corner. Part II: Analyze

How does each variable expression relate to the length, width, and height of the box when

folded? ? K12 Inc.

AV011413 Part III: Extend your Findings

a. Based upon the variables you used in Part II, write a product for the volume. b. Expand the product to write a volume function. c. What domain makes sense for the volume? d. Guess and check values to find the size cut that produces a maximum volume.

Length Width ? K12 Inc.

AV011413 Height Volume

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