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A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions (give all three dimensions). a fells ocesses

A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions (give all three dimensions). a fells ocesses

Calculus: Early Transcendentals
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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Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions (give all three dimensions). For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes laid out in class and in the videos to find the optimal solution.
Transcribed Image Text:Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions (give all three dimensions). For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes laid out in class and in the videos to find the optimal solution.
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