Concept explainers
(a)
To write: A polynomial function that models the volume of the container in terms of its length.
(a)
Answer to Problem 24E
Explanation of Solution
Given information: Manufacturing: The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length.
Calculation:
(b)
To write: An equation if the volume must be 2208 cubic inches.
(b)
Answer to Problem 24E
Explanation of Solution
Given information: Manufacturing: The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length.
Calculation:
(c)
To find: The dimensions of the new container.
(c)
Answer to Problem 24E
The dimension of the box are:
Explanation of Solution
Given information: Manufacturing: The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length.
Calculation:
You can graph the function and see the estimate of the zero is L = 12
Using synthetic division we confirm
L = 12 is a zero so we get:
Since the quadratic is prime, the only plausible value is L = 12.
So the dimensions of the box are:
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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Calculus: Early Transcendentals (2nd Edition)
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