To compare the surface area of prism and cylinder.
Explanation of Solution
Formula used:
Total surface area of any
A prism is solid that are
Technically a cylinder is not a prism, however it is extremely similar. If we imagine a prism with regular polygons for bases, and we increase the number of sides, the solid will look more like a cylinder. Therefore a cylinder can be considered as a prism with an infinite number of faces.
- Total surface area of square prism:
Lateral surface area = perimeter
Total surface area =
- Total surface area of cylinder
Lateral surface area = perimeter
Total surface area =
By comparing the above two formulas we can conclude that surface area of prism and cylinder are almost same.
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning