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Chapter 13.1, Problem 4P

Recall that an n-gon is a polygon with n side For example, a polygon with 17 sides can be called a 17-gon. Atriangle could be called a 3-gon. Find formulas (in terms of n) for the following, and explain why your formulas are valid:

  1. Number of faces (including the bases) on a prism that has n-gon bases
  2. Number of edges on a prism that has n-gon bases
  3. Number of vertices on a prism that has n-gon bases
  4. Number of faces (including the base) on a pyramid that has an n-gon base
  5. Number of edges on a pyramid that has an n-gon base
  6. Number of vertices on a pyramid that has an n-gon base

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Chapter 13 Solutions

Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)

Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.2 - Describe or show how to make a cylinder without...Ch. 13.2 - If a cardboard box (rectangular prism) with a top,...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Prob. 8PCh. 13.2 - Make a pattern for the “bottom portion” (frustum)...Ch. 13.2 - A company will manufacture a tent that will have a...Ch. 13.2 - Prob. 11PCh. 13.2 - Prob. 12PCh. 13.2 - A popular brand of soup comes in cans that are 258...Ch. 13.2 - The lateral portion of a cone (the part other than...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - A cone with a circular base of radius 6 cm is to...Ch. 13.2 - Tim needs a sturdy cardboard box that is 3 ft tall...Ch. 13.2 - Prob. 19PCh. 13.2 - Prob. 20PCh. 13.2 - Prob. 21PCh. 13.2 - Prob. 22PCh. 13.2 - How many different nets an open top cubes an...Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.3 - Suppose that a student in your class wants to know...Ch. 13.3 - Students are sometimes confused about the...Ch. 13.3 - Young children sometimes think that tall...Ch. 13.3 - Students often confuse the surface area and the...Ch. 13.3 - In your own words, explain why the volume volume =...Ch. 13.3 - Discuss how to use blocks to explain why the...Ch. 13.3 - A cylindrical container has a base that is a...Ch. 13.3 - One liter of water is in a cylindrical container....Ch. 13.3 - Measure how fast water comes out of some faucet of...Ch. 13.3 - Find a gallon container, 3 half-gallon container,...Ch. 13.3 - One gallon is 3.79 L, and 1 cm3 holds 1 mL of...Ch. 13.3 - A cake recipe will make a round cake that is 6 in....Ch. 13.3 - A recipe for gingerbread makes a...Ch. 13.3 - The front (and back) of a greenhouse have the...Ch. 13.3 - Prob. 15PCh. 13.3 - Fifty pounds of wrapping paper are wound onto a...Ch. 13.3 - A conveyor belt dumps 2500 yd3 of gravel to form a...Ch. 13.3 - A construction company wants to know how much sand...Ch. 13.3 - One of the Hawaiian volcanoes is 30,000 ft high...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - A cone without a base is made from a...Ch. 13.3 - Prob. 23PCh. 13.3 - A cone without a base is made from 34 of a circle...Ch. 13.3 - A cone-shaped cup has a circular opening at the...Ch. 13.3 - Eight identical spherical raindrops join together...Ch. 13.4 - A tank in the shape of a rectangular prism has a...Ch. 13.4 - A container holds 5 liters. Initially, the...Ch. 13.4 - Aflsh tank in the shape of a rectangular prism is...Ch. 13.4 - Suppose that you have a recipe that calls for 200...Ch. 13.4 - Prob. 5P
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