we counted the faces, vertices, and edges of pyramids and prisms with various polygon bases. Now, suppose we have a general n-gon (n ≥ 3) as the base. How many faces (including the bases) will a prism have

we counted the faces, vertices, and edges of pyramids and prisms with various polygon bases. Now, suppose we have a general n-gon (n ≥ 3) as the base. How many faces (including the bases) will a prism have

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

See similar textbooks

Related questions

Q: A regular polygon has n vertices. How many lines can be drawn between two non-adjacent vertices on…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Consider a prism whose base is a regular n-gon-that triangular prism, square prism, pentagonal…

A: Triangular Prism:The base is a regular triangle (n=3). A regular triangle has 3 sides and 3…

Q: Write a formula to find the number of sides n in a regular polygon given that the measure of one…

A: Given data is : Regular polygon of n side Interior angle is x∘ To find the value of n in terms x∘

Q: The triangle is the most important polygon, because any polygon can be built from triangles. For…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: find a possible set of dimension for rectangular prism with 60 cube units

A: The objective of this question is to find a set of dimensions for a rectangular prism that would…

Q: 7. FRAMING A photograph is 8 in. by 10 in. and is to be surrounded by a mat that is 1.5 in. all…

A: It is a basic algebra problem

Q: 916upa 6 ANALYZING SOLIDS Count the number of faces, vertices, and edges of the polyhedron.…

A: Topic:- geometry

Q: Imagine a pyramid with a pentagon base. How many of these will it have? a. Faces b. Edges c.…

A: The pyramid have Pentagon base. The figure is

Q: 4. Determine for each of the following the minimum number of faces possible: a. Prism b. Pyramid c.…

A: Let us given a minimum number of faces a prism, pyramid and a polyhedron can have.

Q: Tom has a cube, a rectangular prism, and a triangular prism. Which of his shapes have more than 6…

A: In this question we have to tell which shape has more than 6 vertices.

Q: A regular polygon has n vertices. How many lines can be drawn between two non- adjacent vertices on…

A: Given the polygon of of n vertices Then,

Q: 4) in a regular polygon of 12 sides, the measure of each side is 2 inches, and the measure of an…

A: No of Sides = 12 length of side = 2 inch length of apothem = (2 + sqrt of 3) inch Now we need to…

Q: Choose the correct option. a) Which of the following is not a perfect cube? i. 512 iii. 216 ii.…

Q: 7. How many ways can you reflect the following figures onto itself? a. Regular heptagon (7 sides) b.…

A: Given, Regular heptagon(7 sides) Regular octagon(8 sides)

Q: Answer the following: a) How Many ways can a stylist arrange 5 of 8 vases from left to right in a…

A: The given questions are related to permutations. The formula is given by nPr=n!(n-r)!

Q: Consider a pyramid whose base is a regular n-gon-that is, a regular polygon with n sides. How many…

Q: In the figure below, the shape is completed by combining a regular hexagon and a square with its…

Q: formula) using shapes H, anu any other polyhedron you have that is neither a pyramid nor a prism. b.…

A: Topic - polygedrons

Q: What is the reason that the regular tetrahedron and the cube do not have first stellations?

A: Stellation is the process of extending a polyhedron to form another larger polyhedron. It extends…

Q: If a polygon of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 65 diagonals…

A: The number of diagonals of polygon with n sides is given by nn-32. Consider that a polygon has 65…

Question

we counted the faces, vertices, and edges of pyramids and prisms with various polygon bases. Now, suppose we have a general n-gon (n ≥ 3) as the base.

How many faces (including the bases) will a prism have

Definition Definition Two-dimentional plane figure composed of a finite number of straight line segments connected to form a closed chain or circuit. A polygonal circuit's segments are known as its edges or sides, and the points where two edges meet are known as its vertices or corners.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

1. Sketch a 4-dimensional triangle (also known as a simplex), unfolded into three dimensions. How many 3-dimensional sides (also called facets) does it have?
Determine the number of planes of symmetry for each figure. a. A right pyramid whose base is a regular polygon of n sides (n> 3) has (select) O planes of symmetry. b. Any right prism, other than a cube, whose base is a regular polygon of n sides (n > 3) has (select) O planes of symmetry. c. A right pyramid whose base is a regular pentagon has (select) 8 planes of symmetry.
How many diagonals does a regular 20-gon have? Note: A regular 20-gon is a polygon. It has 20 sides (edges) and 20 angles. All sides have the same length, and all angles are equal in measure.
11. Determine which of the following figures are not regular polygons and give at least one reason why. а. b. с. d.
3. A company makes unusually shaped imitation dimonds. One dimond had 12 faces and 19 edges. How many vertices did the diamond have? Use Euler's Formula to check your answer.
3. Use Euler's formula to answer the question. A polyhedron has 18 vertices and 15 faces. How many edges does it have? O A. 35 о в. 31 О С. 32 D. 33
1. The speaker shown below has 7 faces. Two faces are pentagons, and 5 faces are rectangles. a. How many vertices does the speaker have? b. Using Euler's theorem, how many edges does the speaker have? (Show your work below)