Volume by Cross Sections Project

Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
Volume by Cross Sections Project
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Product Description
This is a poster project whereby students create 3-dimensional models of physical objects by using cross sections. Students determine what functions to use for their base regions and the cross sections. They use a spreadsheet to calculate the Riemann sum for their objects and compare their calculations to their integral values. Students have a lot of fun with this project and they get very creative. I recommend that you allow at least 3 weeks for the project and require them to submit their spreadsheets about 1 week into the project. As an instructor, you'll want to make sure that you are very comfortable with the math required and with formulas in Excel. The zip file contains a sample Excel spreadsheet for a project, a detailed project description and specifications for the students, project evaluation forms that students fill out for each other and for themselves, and a project scoring sheet. Files are in both MS Word (or MS Excel) and pdf formats. Also included is winplot.exe, a free software program that allows students to see a 3-D image of their project (and print it) before they build it.

NOTE: Students should modify the spreadsheet to reflect either a right Riemann sum or left Riemann sum by summing one less row (slice). The sample spreadsheet does not do this since the first and last rows (slices) have a zero volume and it would not change the Riemann sum calculation.
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