Concept explainers
Find the dimensions of the box using a table and using a graph.
Length of the box is
Width of the box is
And the height of the box is
Given:
The width should be 4 inches less than the height, and the length should be 6 inches greater than the height.
The volume of the box is 1728 cubic inches.
Calculation:
It has been given that the volume of the box is 1728 cubic inches.
Let the height of the box is
Length is given by
Table Method:
Now make a table by taking random positive values for x and check where V is equal to 1728.
At
Therefore,
Hence,
Length of the box is
Width of the box is
And the height of the box is
Graphical method:
Graph the function
The x - coordinate of the intersection point is
Length of the box is
Width of the box is
And the height of the box is
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education