You have an 8 inch by 10 inch piece of cardboard and you want to make an open topped box. To do this you cut an identical square (of side length r) out of each corner of the cardboard, and then fold up (and tape) the four sides to make your box. (If the idea isn't clear, try it with a piece of paper.) What size of square will maximize the volume of the box?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
icon
Related questions
Topic Video
Question
You have an 8 inch by 10 inch piece of cardboard and you want to make an open topped box. To
do this you cut an identical square (of side length r) out of each corner of the cardboard, and then
fold up (and tape) the four sides to make your box. (If the idea isn't clear, try it with a piece of
paper.)
What size of square will maximize the volume of the box?
Transcribed Image Text:You have an 8 inch by 10 inch piece of cardboard and you want to make an open topped box. To do this you cut an identical square (of side length r) out of each corner of the cardboard, and then fold up (and tape) the four sides to make your box. (If the idea isn't clear, try it with a piece of paper.) What size of square will maximize the volume of the box?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
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 for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax