A company sells chocolate in rectangular boxes whose volume is 120cm^3. For display purposes, the length of a box should be three times its width. What are the dimensions (length, width and height) of a box that minimizes the amount of material used? Don’t forget to show that your answer is the minimum.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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A company sells chocolate in rectangular boxes whose volume is 120cm^3. For display purposes, the length of a box should be three times its width. What are the dimensions (length, width and height) of a box that minimizes the amount of material used? Don’t forget to show that your answer is the minimum.

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