Description
This is a fun project I do with students where they maximize the volume of a box they build from a piece of paper. I do this project with students after they learn optimization and give them two days to work on the assignment. Below are the instructions.
From a piece of paper, four square corners are cut out so that the sides can be folded up to make a box with an open top. From a piece of paper, two square corners and two rectangular corners can be cut so that the sides can be folded up to make a closed box.
Directions:
- Grab two different sized pieces of paper from the front and write down the dimensions of your papers.
- For one piece of paper, determine what dimensions will maximize the volume of an open box.
- With the second paper, determine what dimensions will maximize the volume of a closed box.
- Determine what the maximum volume is for both boxes.
- Construct your box using the paper you were given and write each partner’s name on them.
Highlights
Description
This is a fun project I do with students where they maximize the volume of a box they build from a piece of paper. I do this project with students after they learn optimization and give them two days to work on the assignment. Below are the instructions.
From a piece of paper, four square corners are cut out so that the sides can be folded up to make a box with an open top. From a piece of paper, two square corners and two rectangular corners can be cut so that the sides can be folded up to make a closed box.
Directions:
- Grab two different sized pieces of paper from the front and write down the dimensions of your papers.
- For one piece of paper, determine what dimensions will maximize the volume of an open box.
- With the second paper, determine what dimensions will maximize the volume of a closed box.
- Determine what the maximum volume is for both boxes.
- Construct your box using the paper you were given and write each partner’s name on them.
