An open top rectangular box with a square base of side length x and height y is to be made. If the area of the box is 27, then find the dimensions that maximize the volume. Important note: If the result is a rational number, enter it as m/n in the simplified form, e.g. “8/3" or “2/5" etc. (without quotes and spaces, of course). DO NOT use decimal notation. An algebraically correct answer which is not

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 65E
icon
Related questions
icon
Concept explainers
Topic Video
Question
An open top rectangular box with a square base of side length a and height
y is to be made. If the area of the box is 27, then find the dimensions that
maximize the volume.
Important note: If the result is a rational number, enter it as m/n in the
simplified form, e.g. “8/3" or “2/5" etc. (without quotes and spaces, of course).
DO NOT use decimal notation. An algebraically correct answer which is not
Transcribed Image Text:An open top rectangular box with a square base of side length a and height y is to be made. If the area of the box is 27, then find the dimensions that maximize the volume. Important note: If the result is a rational number, enter it as m/n in the simplified form, e.g. “8/3" or “2/5" etc. (without quotes and spaces, of course). DO NOT use decimal notation. An algebraically correct answer which is not
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell