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Mathematics 43 Online
OpenStudy (anonymous):

Do you think the formulas for surface area and volume would work for other prisms? Why?

OpenStudy (ybarrap):

Yes, because each is related to the other via some integer. The integer corresponds to the number of edges at the base, making them all related to each other. The number of vertices, edges and faces for these geometric objects are also related by Eulers Characteristic equation: # vertices - # edges + # Faces = 2. This relationship holds no matter the number the number of sides at the base (as long as they are finite).

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