An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.
An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
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Question
Transcribed Image Text:An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square
from each corner of the plastic and folding up the flaps on each side. What is the side length x
that should be cut out to get the maximum possible volume of the box?
30
48
Use Calculus and derivatives to find the the side length, x, of the square that is
cut out in order to get the maximum possible volume of the box. Report your answer as a
length. Include units in your answers.
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