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From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. 15 in. x 15 in. x 7.5 in.; 1687.5 in3 O 20 in. x 20 in. x 10 in.; 4000 in3 10 in. x 10 in. x 10 in.; 1000 in 20 in. x 20 in. x 5 in.; 2000 in3

From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. 15 in. x 15 in. x 7.5 in.; 1687.5 in3 O 20 in. x 20 in. x 10 in.; 4000 in3 10 in. x 10 in. x 10 in.; 1000 in 20 in. x 20 in. x 5 in.; 2000 in3

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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QUESTION 5 Solve the problem. From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. 15 in. x 15 in. × 7.5 in.; 1687.5 in3 20 in. x 20 in. × 10 in.; 4000 in 10 in. x 10 in. × 10 in.; 1000 in 20 in. x 20 in. × 5 in.; 2000 in3
Transcribed Image Text:QUESTION 5 Solve the problem. From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. 15 in. x 15 in. × 7.5 in.; 1687.5 in3 20 in. x 20 in. × 10 in.; 4000 in 10 in. x 10 in. × 10 in.; 1000 in 20 in. x 20 in. × 5 in.; 2000 in3
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