To find: How long should you make the cuts? What is the maximum volume? What will the dimensions of the finished box be?
The cuts would be
Given information:
You are making a rectangular box out of a 10-inch-by-15-inch piece of cardboard. The box will be formed by making the cuts of
Formula used:
Volume of rectangular box is length times width times the height of the box.
Calculation:
The length of the box would be
To find the maximum volume, graph the volume function on a graphing calculator. Consider only the interval
It is visible that the maximum volume is about
Length of the box would be:
Width of the box would be:
Therefore, the dimensions of the box will be about
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