An open-topped box is made from a piece of cardboard that is 16 inches by 32 inches by cutting squares of equal size from each corner and bending up the flaps (see p. 210, Figure 4.9, of Ellis/Gulick for a picture). If the side of the squares is x inches, the volume V is the function V = Ax + Bx2 + Cx + D where A = 4 B = -96 C = 512 D If we include the possibility of a volume of 0, then the largest possible value for x is 16 and the smallest possible value for x is 0 To create the box with the largest possible volume, the square must have a length inches. The largest possible volume is 788.275 cubic inches.
An open-topped box is made from a piece of cardboard that is 16 inches by 32 inches by cutting squares of equal size from each corner and bending up the flaps (see p. 210, Figure 4.9, of Ellis/Gulick for a picture). If the side of the squares is x inches, the volume V is the function V = Ax + Bx2 + Cx + D where A = 4 B = -96 C = 512 D If we include the possibility of a volume of 0, then the largest possible value for x is 16 and the smallest possible value for x is 0 To create the box with the largest possible volume, the square must have a length inches. The largest possible volume is 788.275 cubic inches.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
Related questions
Topic Video
Question
Need a clear answer please
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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