a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 33 ft by 18 ft The resulting piece of cardboard is then folded into a box without a lid Find the volume of the largest box that can be formed in this way b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s Find the volume of the largest box that can be formed in this way a. The maximum volume of the box is approximately (Round to the nearest hundredth as needed.) b. The maximum volume of the box is (Type an expression using s as the variable.)

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
Topic Video
Question

20

a. Squares with sides of length x are cut out of each corner of a rectanqular piece of cardboard measuring 33 ft by 18 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box
that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way
a. The maximum volume of the box is approximately
ft
(Round to the nearest hundredth as needed.)
te
b. The maximum volume of the box is
(Type an expression using s as the variable.)
Transcribed Image Text:a. Squares with sides of length x are cut out of each corner of a rectanqular piece of cardboard measuring 33 ft by 18 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way a. The maximum volume of the box is approximately ft (Round to the nearest hundredth as needed.) te b. The maximum volume of the box is (Type an expression using s as the variable.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 5 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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.
Similar questions
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,