Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 25 in. by 14 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume The dimensions of box of maximum volume are (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
icon
Related questions
Question
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 25 in. by 14 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.
The dimensions of box of maximum volume are
(Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 25 in. by 14 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume. The dimensions of box of maximum volume are (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inequality
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
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL