Question number 13 (9.1) ### Geometry Exercises on Prisms#### 10. Volume of a Triangular PrismSuppose that each of the bases of the triangular prism in Exercise 2 has an area of \( 3.4 \, \text{cm}^2 \) and that the altitude of the prism measures \( 1.2 \, \text{cm} \). Find the volume of the prism.#### 11. Octagonal PrismA solid is an octagonal prism:- **(a)** How many vertices does it have?- **(b)** How many lateral edges does it have?- **(c)** How many base edges are there in all?#### 12. Pentagonal PrismA solid is a pentagonal prism:- **(a)** How many vertices does it have?- **(b)** How many lateral edges does it have?- **(c)** How many base edges are there in all?#### 13. Generalizing ResultsGeneralize the results found in Exercises 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is \( n \). For the prism, what is the:- **(a)** Number of vertices?- **(b)** Number of lateral edges?- **(c)** Number of base edges?- **(d)** Total number of edges?- **(e)** Number of lateral faces?- **(f)** Number of bases?- **(g)** Total number of faces?These exercises are designed to enhance your understanding of the geometrical properties and the relationships in various prisms. Each question builds upon fundamental concepts, pushing you to apply theory to practical problems.

Name: Question number 13 (9.1) ### Geometry Exercises on Prisms#### 10. Volu
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Description: Question number 13 (9.1) ### Geometry Exercises on Prisms#### 10. Volume of a Triangular PrismSuppose that each of the bases of the triangular prism in Exercise 2 has an area of \( 3.4 \, \text{cm}^2 \) and that the altitude of the prism measures \(

Number of vertices 2n Number of lateral edges n Number of base edges 2n Total number of edges…

Math

Geometry

11. A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it have? c) How many base edges are there in all? 12. A solid is a pentagonal prism. a) How many vertices does it have? b) How many lateral edges does it have? c) How many base edges are there in all? 13. Generalize the results found in Exercises 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a) number of vertices? b) number of lateral edges? c) number of base edges? d) total number of edges? ns Totolid e) number of lateral faces? f) number of bases? The g) total number of faces?

11. A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it have? c) How many base edges are there in all? 12. A solid is a pentagonal prism. a) How many vertices does it have? b) How many lateral edges does it have? c) How many base edges are there in all? 13. Generalize the results found in Exercises 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a) number of vertices? b) number of lateral edges? c) number of base edges? d) total number of edges? ns Totolid e) number of lateral faces? f) number of bases? The g) total number of faces?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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