Back To Course

CAHSEE Math Exam: Tutoring Solution21 chapters | 211 lessons

Watch short & fun videos
**
Start Your Free Trial Today
**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Joseph Vigil*

In this lesson, you'll find out what qualities make up a prism and what a pentagonal prism is. You'll also learn the basic properties found in all pentagonal prisms.

Prisms are a certain kind of shape, but what makes them stand out? A **prism** consists of two two-dimensional shapes joined together to form an enclosed three-dimensional shape. For example, a drum is a prism because it has two circles joined together to make the enclosed three-dimensional shape we see here:

In fact, the two-dimensional shape (in this case, a circle) makes the top and bottom, or **faces**, of a prism.

Cans of food, soda cans, and trash cans are all prisms because they're three-dimensional shapes with circular faces. Likewise, boxes are prisms because they're three-dimensional shapes with square or rectangular faces.

Since there are many different shapes that can serve as faces, there are many types of prisms we can make. In fact, prisms are named for the shape of their faces. So a **pentagonal prism** is simply a prism that has pentagons as its faces. Similar to the drum or box, it's an enclosed three-dimensional shape based on two pentagons.

It's very similar to the snare drum, except its bottom and top are pentagons rather than circles.

This image is also a pentagonal prism:

Even though the sides are slanted, it's still a three-dimensional shape based on two pentagons.

Since all pentagonal prisms have the same basic qualities, they all share certain properties:

1. First, all pentagonal prisms have seven sides.

As we can see in this illustration, the five sides of the prism connect the five sides of the pentagons. The top and bottom make sides six and seven.

2. Additionally, all pentagonal prisms have fifteen edges.

In this illustration, the first five edges (or numbers 1-5 in black) form the top pentagonal face, while edges 6-10 (shown in white) form the bottom face. Meanwhile, edges 11-15 (shown in silver) are the 5 edges connecting the pentagonal faces.

3. Finally, all pentagonal prisms have ten vertices, or corners.

There are five corners on both top and bottom where the sides and faces meet, making a total of ten vertices.

**Pentagonal prisms** are simply two pentagons joined together to form an enclosed three-dimensional shape. Because this is true for all pentagonal prisms, they all have:

- 7 sides
- 15 edges
- 10 vertices

The seven sides of a pentagonal prism include the top and bottom, which are known as **faces**.

To unlock this lesson you must be a Study.com Member.

Create your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
11 in chapter 17 of the course:

Back To Course

CAHSEE Math Exam: Tutoring Solution21 chapters | 211 lessons

- The Pythagorean Theorem: Practice and Application 7:33
- How to Identify Similar Triangles 7:23
- Applications of Similar Triangles 6:23
- Classifying Triangles by Angles and Sides 5:44
- Angles and Triangles: Practice Problems 7:43
- Triangle Congruence Postulates: SAS, ASA & SSS 6:15
- Congruency of Isosceles Triangles: Proving the Theorem 4:51
- Congruency of Right Triangles: Definition of LA and LL Theorems 7:00
- Alternate Exterior Angles: Definition & Theorem 4:03
- Alternate Interior Angles: Definition, Theorem & Examples 5:57
- Pentagonal Prism: Definition & Properties 2:37
- Go to CAHSEE - Triangles, the Pythagorean Theorem & Congruency: Tutoring Solution

- Leadership in Action for Coaches
- Introduction to the Internet of Things
- Adaptive Leadership for Agile Organizations
- Chemistry 112: Chemistry II
- Leadership in Action
- Additional CLEP Principles of Macroeconomics Flashcards
- Additional CLEP Analyzing & Interpreting Literature Flashcards
- Additional CLEP History of the United States I Flashcards
- Additional CLEP Information Systems Flashcards
- CLEP Introductory Psychology Exam Flashcards
- Average AFQT Scores
- ASVAB Test Day Preparation
- How To Pass the GED Reading Test
- What is the AFQT?
- What is the Highest ASVAB Score?
- ASVAB Scores for Marines
- Can You Retake the ASVAB?

- Irony & Satire in Great Expectations
- History of Drawing Materials & Techniques
- Tree Diagrams, Sample Space Diagrams & Tables of Outcomes
- How to Create Meaning in Art: Techniques & Examples
- Geography Tools: Fieldwork, Databases & Primary Sources
- Common Drug-Disease Interactions
- Practical Application: Determining Precipitates
- How to Implement Greentailing in Organizations
- Quiz & Worksheet - Questions on The Odyssey Book 22
- Quiz & Worksheet - Confidence Intervals
- Quiz & Worksheet - Vocabulary for Painting Materials & Processes
- Quiz & Worksheet - Sculpting Materials & Techniques
- Quiz & Worksheet - Problems & Solutions When Making Visual Art
- Introduction to Research Methods in Psychology Flashcards
- Clinical Assessment in Psychology Flashcards

- TExMaT Master Reading Teacher (085): Practice & Study Guide
- Human Growth & Development Syllabus Resource & Lesson Plans
- Principles of Microeconomics Syllabus Resource & Lesson Plans
- Glencoe Pre-Algebra: Online Textbook Help
- Algebra I Curriculum Resource & Lesson Plans
- OAE Mathematics: Exponents & Exponential Expressions
- NMTA Math: Inequalities
- Quiz & Worksheet - Natural Rate of Unemployment
- Quiz & Worksheet - Current Account & Measuring Foreign Trade
- Quiz & Worksheet - Psychoanalytic Schools & Psychopathology Theory
- Quiz & Worksheet - Parenting During the Middle Years
- Quiz & Worksheet - History & Benefits of Pet Therapy

- Private Investment and Real Interest Rates
- Initial Eligibility Requirements for College Athletes
- Enlightenment Thinkers Lesson Plan
- What are the NYS Regents Exams?
- 504 Plans in Virginia
- How Hard is the CSET Social Science?
- GMAT Classes in New York City (NYC)
- AP Biology Exam Date
- Creative Writing Prompts for Kids
- How to Pass the Social Studies GED Test
- Romeo and Juliet Act 3 Lesson Plan
- How Many Questions are on the TABE Test?

Browse by subject