The base of a rectangular box, open at the top, is to be three times as long as it is wide. Find the dimensions of the box with minimal surface area if the volume of the box is to be 2250 cubic inches.

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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The base of a rectangular box, open at the top, is to be three times as long as it is wide.
Find the dimensions of the box with minimal surface area if the volume of the box is to be 2250 cubic
inches. Show and organize your work; use the first derivative test or the second derivative test or
other tools to check that yours is the desired optimal solution.

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