A box with a square base and open top must have a volume of 13500 cubic inches. We wish to find the dimensions of the box that will Minimize the amount of cardboard material used. First, find a formula for the surface area of the box in terms of only T, the length of one side of the square base. [Hint: Remember the box has no top. Draw and label a picture.] A(r) = Now, calculate where the function A(z) has a minimum. The length of the side of the square bottom is Select an answer v The minimum amount of material needed is Select an answerv DO NOT USE CALCULIS Use tho

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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A box with a square base and open top must have a volume of 13500 cubic inches. We wish to find the
dimensions of the box that will Minimize the amount of cardboard material used.
First, find a formula for the surface area of the box in terms of only I, the length of one side of the square
base. [Hint: Remember the box has no top. Draw and label a picture.]
A(1) :
||
Now, calculate where the function A(r) has a minimum.
The length of the side of the square bottom is
Select an answerv
The minimum amount of material needed is
Select an answerv
DO NOT USE CALCULUS. Use the methods of this class.
Transcribed Image Text:A box with a square base and open top must have a volume of 13500 cubic inches. We wish to find the dimensions of the box that will Minimize the amount of cardboard material used. First, find a formula for the surface area of the box in terms of only I, the length of one side of the square base. [Hint: Remember the box has no top. Draw and label a picture.] A(1) : || Now, calculate where the function A(r) has a minimum. The length of the side of the square bottom is Select an answerv The minimum amount of material needed is Select an answerv DO NOT USE CALCULUS. Use the methods of this class.
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