Learn How to Learn Math with Excel

 

Central Arizona College

MAT 121 Semester Project

 

Student Name _______________________________________________

 

Your semester project is to design and construct an open top rectangular box from a piece of paper. It must hold the maximum volume possible.  Justification for the project must include a full-page graph of the volume function for your box. The graph should be supported with various coordinates that you have selected and your best guess for the coordinate that will produce the maximum volume. You must also write an explanation (one typewritten page) of steps you have taken to justify the equation you developed to maximize the volume.  Topics of your discussion should include domain and range of measures of the cutouts as related to the volume. You should include a drawing of your box with appropriate measures on the drawing.

 

The dimensions of the paper you will use are:

 

______________ inches by ______________ inches.

 

A typical drawing of the box before folding may look like this:

 

 

  

 

 

 

 

 

Due date:  Thursday April 24, 2008

 

Items to hand in: 1 open top paper box, 1 page of graph of the volume function, 1 page of written justification report.

 

Extra Credit!

 

You may get up to 10% extra credit on this project grade if you present a power point presentation explaining to the class how you arrived at your conclusions

Central Arizona College

MAT 121 Project Grade Sheet

 

Date: _______________________ Student Name _________________________

 

Your semester project is to design and construct an open top rectangular box from a piece of paper. It must hold the maximum volume possible.  Justification for the project must include a full-page graph of the volume function for your box. The graph should be supported with various coordinates that you have selected and your best guess for the coordinate that will produce the maximum volume. You must also write an explanation (one typewritten page) of steps you have taken to justify the equation you developed to maximize the volume.  Topics of your discussion should include domain and range of measures of the cutouts as related to the volume. You should include a drawing of your box with appropriate measures on the drawing.

 

The dimensions of the paper:  ______________ inches by ______________ inches.

 

Project Requirements

 

Points possible

Your Score

 

Handed in on or before due date

 

10

 

1 open top paper box

 

20

 

1 page of graph o f the volume function

 

20

 

1 page of written justification report

 

20

 

Technical: Volume equation stated

 

5

 

Technical: Drawing of box

 

5

 

Technical: Value of cut-out within 10% of target

 

10

 

Technical: Volume within 10% of target

 

10

 

Total points

 

 

100

 

 

Comment: