Project Spikey Door – Building a 3-D Object
In this project, you will build and decorate a 3-D object of your own design, and you will calculate the surface area and volume of this object. As part of the write-up, you will show step-by-step how you arrived at your calculations.
Design
- You’ll design either a cone, or a pyramid with a regular-polygon base. A square base is fine, but a base with >4 sides is worth a small bonus.
- As a general guideline for size, the base of your object should have an area between 150 and 250 square centimeters. Overall, your object should have a volume between 750 and 2000 cubic centimeters.
- You may collaborate with classmates but everyone must submit their OWN object, drawings, and calculations.
- By the end of class Tuesday, June 13th, you should have a scale drawing of a net for your object, with all the important dimensions labeled. For example: radius, base edge length, slant height, lateral edge length.
- You may want to design, cut out, and test several prototypes before settling on your design.
Building
- You will need to build your object. Consider using poster-board or something thicker than regular paper and decorating your object.
- By the end of the day on Monday, June 19th, you should have your labeled scale drawing of the net, and your 3d object. Leave it in class and make sure your name is written on the bottom.
Calculations and Presentation
- You will need to draw a 3-dimensional picture of your object. All important lengths must be labeled in the diagram. For example: radius, height, base edge length, slant height, lateral edge length.
- You will be calculating the volume, lateral surface area, and total surface area of your object. For full credit, show all formulas used, substitutions, and label results with appropriate units of measure. You will need to submit a neat sheet of calculations, complete with all work and explanations in your own words. The clarity, accuracy, and organization of your math work will make up the majority of your project grade.
- Every submitted object must be appropriately decorated and attractive.
Grading Rubric
Scoring Name: _______________________
Your Score
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Max Score
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|
1. Turn in this page, neatly stapled with the two required drawings and two required calculations.
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1
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2. Your design is a
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6
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3. Your design follows the size guidelines.
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3
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4. Scaled drawing of net is turned in, accurate, and neatly labeled.
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10
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5. 3-d object is turned-in, neatly constructed, and attractively decorated
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12
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6. Drawing of 3-d object is turned-in, neat, and accurately labeled.
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8
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7. Volume calculation is submitted, including all formulas used, substitutions, and results labeled with appropriate units of measure.
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10
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8. Total surface area calculation is submitted, including all formulas used, substitutions, and results labeled with appropriate units of measure.
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10
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Final Score
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60
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For every 6 points you gain on the rubric, you will earn a point of extra credit on the Ch 9-10 exam.
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