Unit 1.4: Surface Area of other composite objects
what do we need to know?
Last section, we reviewed and learned how to calculate the surface area of a rectangular prism, or a "box." Then, we combined 2 or more rectangular prisms, and ventured into getting the surface area of a figure composed of rectangular prisms.
If you recall, we discussed that, even when other than rectangular prisms are involved, the procedure to get the total area of a composite figure CAN BE USED IN ALL CASES. I mentioned that your textbook approaches it in a slightly different manner, but hopefully by understanding the "general formula," you'll sail through this section with much more ease!
Take a look at what we need to know and remember to facilitate what we are about to do:
If you recall, we discussed that, even when other than rectangular prisms are involved, the procedure to get the total area of a composite figure CAN BE USED IN ALL CASES. I mentioned that your textbook approaches it in a slightly different manner, but hopefully by understanding the "general formula," you'll sail through this section with much more ease!
Take a look at what we need to know and remember to facilitate what we are about to do:
math_9_-_1.4_-_what_we_need_to_know_1.pdf | |
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Let us talk about triangular prisms and cylinders:
The following notes are divided as follows:
- First, we discuss how to get the surface area of a triangular prism ("toblerone").
- Then, we discuss how to get the surface area of a cylinder.
- Then, we review how to get the area of a composite figure, and how to determine the "overlaps" (and what to do with them!)
- Then, by working out Examples 1 and 2 in pages 34 and 36, respectively, we put together all the points and concepts mentioned above.
- Please note that our procedure stays constant throughout, and thus, at times, it differs from what is written in your textbook. However, the textbook's way and our way result in the same (and correct) answer.
- As always, I encourage to stick to the one method that makes the most sense to you. Just remember: We really are doing the same thing we did before, except that now we are throwing triangular prisms and cylinders into the mix.
- Take a look at the explanations:
math_9_-_1.4_-_surface_areas_of_other_composite_objects_1.pdf | |
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The good news? You already know the majority of the formulas, and the rest, you are starting to understand how to figure it out. However, here is the formula sheet with all the ones you need...
9_unit_1_-_formulas.pdf | |
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Let's work out a couple of problems involving triangular prisms:
9_unit_1.4_-_surface_area_of_figure_made_of_triangular_prisms_-_example_1.pdf | |
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9_unit_1.4_-_surface_area_of_figure_made_of_triangular_prisms_-_example_2.pdf | |
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surface area of a cylinder
Work on the following examples
9_unit_1.4_-_surface_area_of_composite_object_-_example_1.pdf | |
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9_unit_1.4_-_surface_area_of_composite_object_-_example_2.pdf | |
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9_unit_1.4_-_surface_area_of_composite_object_-_example_3.pdf | |
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9_unit_1.4_-_surface_area_of_composite_object_-_example_4.pdf | |
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review - workbook
workbook_-_unit_1.4.pdf | |
File Size: | 6941 kb |
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