Due Friday, February 20th
Part 1: Construction of Rectangular Prisms
Part ONE of this project can either be done via the game Minecraft, the blocks in Mr. Piercey’s classroom, OR any square unit cubes that the student has at home.
Students may work in partners for part one if they choose. Please note that if two students work on a project, however, the expectation is that BOTH students will contribute equally to the completion of the project. One student cannot be the only one doing the work for this project.
Task: Build the following rectangular prisms. Make sure they are all clearly labeled with the following:
Polyhedron Letter ____ Length: ____ Width: ____ Height: ____ Total Volume: ____
- Construct a rectangular prism that has a total volume of 50 cubic units.
- Build a rectangular prism that has a height of 5 units, a width of 3 units, and a length of 7 units.
- Construct TWO different rectangular prisms that both have a volume of 40 cubic units. However, they must each have different dimensions (length, width, height).
- The base of rectangular prism D has a total surface area of 12 square units. It has a height of 7 units. Construct it.
- Rectangular prism E has a height of 10 units and a width of 4 units. It’s total volume is 80 cubic units. Construct it.
- Construct a rectangular prism which has dimensions DIFFERENT from any of the others on this list. It’s total volume > 20 cubic units.
- Create a polyhedron that has a volume of 60 cubic units. It can NOT be a rectangular prism.
- Optional: Construct three rectangular prisms, each with different dimensions (L x W x H), that have a total combined volume of 104 cubic units.
How to Show/Share Your Constructions
If you used Minecraft to complete the project…
~ Using a screencapture tool, record a screencast of you showing the different rectangular prisms you created. This can be uploaded to a private Youtube channel and then emailed to Mr. Piercey’s email (firstname.lastname@example.org)
~ Take screenshots of your rectangular prisms. Make sure I can see the length, width, and height of them all. This may require multiple pictures of each polyhedron (3D shape).
~ If you complete the project on an iPad/Android tablet, take screenshots of your rectangular prisms. Email these to Mr. Piercey at email@example.com.
~ You can also bring your iPad/Android tablet in to school to show Mr. Piercey your construction. Note: you are responsible for taking care of your device if you bring it to school.
~ Other methods are also acceptable!
If you used the cubes in Mr. Piercey’s classroom…
Create a Google Doc and take pictures of your constructions using your computer’s webcam. Rename the Doc “Your name -- Volume Project”. Make sure each picture is clearly labeled, and then share it with firstname.lastname@example.org
Part 2 - Recording your Data
There is a spreadsheet template in Google Classroom. Record the following information on it BEFORE pressing the “Turn In” button.
~ The total volume of each prism you constructed in Part 1.
~ The expression you used to determine each volume (L x W x H)
~ A snapshot of your work.
Part 3 - Written Responses
Answer the following written responses IN COMPLETE SENTENCES on a sheet of graph paper.
- Explain how to determine the volume of a rectangular prism.
- How are VOLUME and AREA similar? How are they different?
- If a rectangular prism has a height of “n” and a base of 20 cubic units, write the expression you would use to determine the total volume of the prism.
- Look at rectangular prism B that you created in Part 1 of the assignment. What is it’s TOTAL SURFACE AREA?
- Explain how two polyhedrons (3D shapes) can have different dimensions (L x W x H) but still have the same volume.
Part 4 - Optional Bonus
With your parents’ supervision, create an object which has a total volume of EXACTLY 60 cubic inches.
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