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Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume

Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Similar Solids Exploration/ Discovery of Ratios of Surface Area and Volume
Product Description
This activity can be used after students have had experience with finding the Surface Area and Volume of Prisms, Cylinders, etc. Instead of telling the students the rules for ratios or scale factor of Surface Area and Volume, why not let them discover it on their own?

This activity will take 30-50 minutes of class time, and would best be suited for groups of 2-3 students. It assumes the use of an interactive website (the URL is stated on the worksheet). The use of this website is not absolutely necessary, but it cuts down the time to compute the surface area and volume of several cylinders.

Students explore the relationship of a cylinder with radius and height of 1 unit, then 2 units, 3 units, etc.. They determine the ratio of the new to original surface areas and volumes. The worksheet guides the students step-by-step to do every part of the discovery and organizes their work in an easy-to-read table. Then students look for patterns to generalize the formulas for the ratios of surface area and volume of similar solids.

The student handout is 2 pages, and the answer key is 2 pages.
Zip folder contains 2 Microsoft Word .docx files.

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Total Pages
4 pages
Answer Key
Included
Teaching Duration
50 minutes
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