4. Recall that an n-gon is a polygon with n sides. For example, a polygon with 17 sides can be called a 17-gon. A triangle could be called a 3-gon. Find formulas (in terms of n) for the following, and explain why your formulas are valid: a. Number of faces (including the bases) on a prism that has n-gon bases b. Number of edges on a prism that has n-gon bases c.Number of vertices on a prism that has n-gon bases d. Number of faces (including the base) on a pyramid that has an n-gon base e. Number of edges on a pyramid that has an n-gon base f.Number of vertices on a pyramid that has an n-gon base

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 13E
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13.1 #4 parts d, e, and f

4. Recall that an n-gon is a polygon with n sides. For
example, a polygon with 17 sides can be called a
17-gon. A triangle could be called a 3-gon. Find
formulas (in terms of n) for the following, and
explain why your formulas are valid:
a. Number of faces (including the bases) on a
prism that has n-gon bases
b. Number of edges on a prism that has n-gon
bases
c.Number of vertices on a prism that has n-gon
bases
d. Number of faces (including the base) on a
pyramid that has an n-gon base
e. Number of edges on a pyramid that has an
n-gon base
f.Number of vertices on a pyramid that has an
n-gon base
Transcribed Image Text:4. Recall that an n-gon is a polygon with n sides. For example, a polygon with 17 sides can be called a 17-gon. A triangle could be called a 3-gon. Find formulas (in terms of n) for the following, and explain why your formulas are valid: a. Number of faces (including the bases) on a prism that has n-gon bases b. Number of edges on a prism that has n-gon bases c.Number of vertices on a prism that has n-gon bases d. Number of faces (including the base) on a pyramid that has an n-gon base e. Number of edges on a pyramid that has an n-gon base f.Number of vertices on a pyramid that has an n-gon base
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