Question 1

How many nets form a square pyramid? Sketch.

Accepted Answer

There are six nets. Here is a systematic way to generate them: One triangle is attached to each side of the square base. Two triangles are adjoining and attached to two adjoining sides of the square. Two triangles are adjoining and attached to two opposite sides of the square. Three triangles are adjoining and attached to one side of square and one triangle on the opposite side. Three triangles are adjoining and attached to one side of the square and one triangle on an adjoining side of the square. Four triangles are adjoining and attached to one side of the square.

Question 2

One of the types of regular polyhedra was only discovered in 1914.

Accepted Answer

A) True 
 B)False  False

Question 3

Is it possible for the number of edges, the number of faces, and the number of vertices of a polyhedron to all be even? If so, give an example. If not, explain why not.

Accepted Answer

yes-for example, a cube

Question 4

Sketch a pentagonal pyramid. Be sure to include the hidden edges. Is your pyramid right or oblique?

Accepted Answer

The answer of Sketch a pentagonal pyramid. Be sure to...

Question 5

A) There are _____ types of regular polyhedra.
B) Name the types.

Accepted Answer

The answer of A) There are _____ types of regular...

Question 6

How many faces CANNOT be seen in the drawing of a hexagonal pyramid?

Accepted Answer

The answer of How many faces CANNOT be seen in...

Question 7

State Euler's formula for polyhedra.

Accepted Answer

The answer of State Euler's formula for polyhedra....

Question 8

What is the name of the shape below?

Accepted Answer

A)  polyhedron 
B)  eight-gon 
C)  hexagonal prism 
D)  octahedron 
E)  L-pyramid 
A)  polyhedron 
B)  eight-gon 
C)  hexagonal prism 
D)  octahedron 
E)  L-pyramid

Question 9

Explain why a cube is a regular polyhedron.

Accepted Answer

The answer of Explain why a cube is a regular...

Question 10

Complete the following sentences.
A) A prism with 16 vertices is a(n) _____ prism.
B) A hexagonal prism has _____ edges, _____ vertices, and _____ faces.
C) A pyramid with 60 edges has _____ vertices and _____ faces.
D) A pentagonal prism has _____ edges, _____ vertices, and _____ faces.

Accepted Answer

The answer of Complete the following sentences.
A) A prism with...

Question 11

Which statement is TRUE for every square prism?
I. Every angle in every face is a right triangle.
II. Every lateral edge has the same length.
III. All the edges have the same length.

Accepted Answer

A)  I and II only 
B)  I and III only 
C)  II and III only 
D)  I, II, and III 
E)  None of the answers is correct. 
A)  I and II only 
B)  I and III only 
C)  II and III only 
D)  I, II, and III 
E)  None of the answers is correct.

Question 12

Which shapes are congruent? If none are congruent, explain how you know.

Accepted Answer

The answer of Which shapes are congruent? If none are...

Question 13

I am a polyhedron with a total of nine faces. My lateral faces are isosceles triangles.
What is my full name?

Accepted Answer

The answer of I am a polyhedron with a total...

Question 14

Give the BEST name for the represented shapes. A)

B)

Accepted Answer

The answer of Give the BEST name for the represented...

Question 15

What is a regular polyhedron?

Accepted Answer

A regular polyhedron is a poly

Question 16

I am a polyhedron with a total of nine faces. My eight lateral faces are isosceles triangles, all alike. My BEST name is:

Accepted Answer

A)  nine-gon. 
B)  octagonal pyramid. 
C)  nine-gonal pyramid. 
D)  octagonal prism. 
E)  regular octagonal pyramid.
F)Triangular pyramid. 
A)  nine-gon. 
B)  octagonal pyramid. 
C)  nine-gonal pyramid. 
D)  octagonal prism. 
E)  regular octagonal pyramid.
F)Triangular pyramid.

Question 17

Give the BEST name for the three-dimensional shapes represented by the following pictures. Note: Angles that look like right angles are right angles in the three-dimensional shape. a.

b.

c. (a net)

d.
    g.

h.

Accepted Answer

The answer of Give the BEST name for the three-dimensional...

Question 18

Complete the following sentences.
A) An octagonal prism has _____ edges (in all) and _____ vertices.
B) An n-gonal pyramid has _____ lateral edges and _____ faces.
C) A prism that has 12 faces in all has _____ vertices.
D) A polyhedron with 250 edges and 102 vertices has _____ faces.

Accepted Answer

The answer of Complete the following sentences.
A) An octagonal prism...

Question 19

Which statement is safe to say about every square pyramid?
I. Every lateral edge has the same length.
II. all of the angles on each face are equal.
III. Every base edge has the same length.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I and III only 
E)  some choice among I, II, and III that is not given here 
A)  I only 
B)  II only 
C)  III only 
D)  I and III only 
E)  some choice among I, II, and III that is not given here

Question 20

(Note to instructor: Preparation before the test is necessary.)
For Model X on your table:
1) Draw a net. (You are not allowed to take the model on your table apart, but feel free to pick it up.)
2) Draw a picture of the model.
3) State the correct mathematical name for Model X,
For Model Y on your table, draw a net.

Accepted Answer

The answer of (Note to instructor: Preparation before the test...

Exam 17: Polyhedra

How many nets form a square pyramid? Sketch.

One of the types of regular polyhedra was only discovered in 1914.

Is it possible for the number of edges, the number of faces, and the number of vertices of a polyhedron to all be even? If so, give an example. If not, explain why not.

Sketch a pentagonal pyramid. Be sure to include the hidden edges. Is your pyramid right or oblique?

A) There are _____ types of regular polyhedra. B) Name the types.

How many faces CANNOT be seen in the drawing of a hexagonal pyramid?

State Euler's formula for polyhedra.

What is the name of the shape below?

Explain why a cube is a regular polyhedron.

Complete the following sentences. A) A prism with 16 vertices is a(n) _____ prism. B) A hexagonal prism has _____ edges, _____ vertices, and _____ faces. C) A pyramid with 60 edges has _____ vertices and _____ faces. D) A pentagonal prism has _____ edges, _____ vertices, and _____ faces.

Which statement is TRUE for every square prism? I. Every angle in every face is a right triangle. II. Every lateral edge has the same length. III. All the edges have the same length.

Which shapes are congruent? If none are congruent, explain how you know.

I am a polyhedron with a total of nine faces. My lateral faces are isosceles triangles. What is my full name?

Give the BEST name for the represented shapes. A) B)

What is a regular polyhedron?

I am a polyhedron with a total of nine faces. My eight lateral faces are isosceles triangles, all alike. My BEST name is:

Give the BEST name for the three-dimensional shapes represented by the following pictures. Note: Angles that look like right angles are right angles in the three-dimensional shape. a. b. c. (a net) d. g. h.

Complete the following sentences. A) An octagonal prism has _____ edges (in all) and _____ vertices. B) An n-gonal pyramid has _____ lateral edges and _____ faces. C) A prism that has 12 faces in all has _____ vertices. D) A polyhedron with 250 edges and 102 vertices has _____ faces.

Which statement is safe to say about every square pyramid? I. Every lateral edge has the same length. II. all of the angles on each face are equal. III. Every base edge has the same length.

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Understanding Change: Relationships Among Time, Distance, and Rate

Further Topics in Algebra and Change

Polygons

Symmetry

Tessellations

Similarity

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Complete the following sentences. A) A prism with 16 vertices is a(n) ___ prism. B) A hexagonal prism has _ edges, _ vertices, and _ faces. C) A pyramid with 60 edges has _ vertices and _ faces. D) A pentagonal prism has _ edges, _ vertices, and ___ faces.

Complete the following sentences. A) An octagonal prism has ___ edges (in all) and _ vertices. B) An n-gonal pyramid has _ lateral edges and _ faces. C) A prism that has 12 faces in all has _ vertices. D) A polyhedron with 250 edges and 102 vertices has ___ faces.