A. Packaging is one important feature in producing quality products. designer needs to produce a package for a product in the shape of a pyramid with a square base having a total volume of 200 cubic inches. The height of the package must be 4 inches less than the length of the base. Find the dimensions of the product. Solution: 1. Let = area of the base 2. Let height of the pyramid %3D 3. If the volume of the pyramid is V = 1/3 (area of the base)(height), then the equation that will lead to the solution is 200 = 4. Using synthetic division, the roots are Note: After getting the first root, apply quadratic formula to find the other two roots. 5. Therefore, the length of the base of the package is 6. and its height is

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
A.
Packaging is one important feature in producing quality prő
designer needs to produce a package for a product in the shape of a pyramid
with a square base having a total volume of 200 cubic inches. The height of the
package must be 4 inches less than the length of the base. Find the dimensions
of the product.
A.
Solution:
1. Let
area of the base
2. Let
height of the pyramid
%3D
3. If the volume of the pyramid is V = 1/3 (area of the base)(height), then the
equation that will lead to the solution is 200 =
4. Using synthetic division, the roots are
Note: After getting the first root, apply quadratic formula to find the
other two roots.
5. Therefore, the length of the base of the package is
6. and its height is
Transcribed Image Text:Packaging is one important feature in producing quality prő designer needs to produce a package for a product in the shape of a pyramid with a square base having a total volume of 200 cubic inches. The height of the package must be 4 inches less than the length of the base. Find the dimensions of the product. A. Solution: 1. Let area of the base 2. Let height of the pyramid %3D 3. If the volume of the pyramid is V = 1/3 (area of the base)(height), then the equation that will lead to the solution is 200 = 4. Using synthetic division, the roots are Note: After getting the first root, apply quadratic formula to find the other two roots. 5. Therefore, the length of the base of the package is 6. and its height is
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education