A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in flaps from all four sides so that the bottom and top consist of two layers of cardboard. Find the dimensions of the box that requires the least material. Also, find the ratio of height to side of the base.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in flaps from all four sides so that the bottom and top consist of two layers of cardboard. Find the dimensions of the box that requires the least material. Also, find the ratio of height to side of the base. 

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