Back To Course

High School Trigonometry: Homework Help Resource30 chapters | 203 lessons

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:
*Laura Pennington*

Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.

Solid figures are everywhere around us. In this lesson, we'll learn what solid figures are, and we'll explore some common types of solid figures. After going through the lesson, you will be able to test your new-found knowledge with a quiz.

**Solid figures** are three-dimensional objects. What this means is that solid figures have a width, a depth, and a height. For example, look at your computer, laptop, phone, or whatever else you are using to view this lesson. Notice that it has a width, a depth, and a height.

This may make you think that solid figures are probably quite common in the environment around us, and you are right! Anything with those three dimensions (width, depth, and height) is a solid figure, and because we live in a three-dimensional world, these figures are all around us. In mathematics, there are many solid figures.

Let's look at these figures and some examples of them in our everyday life.

A **rectangular prism** is a solid figure that has six sides, called faces, that are rectangles. This can be thought of as a fancy name for something that has the shape of a cardboard box. Rectangular prisms show up all around us. Some examples may include a book, a piece of furniture, or a jewelry box.

**Cubes** are just a special case of rectangular prisms. Cubes are solid figures that have six faces that are all squares of the same size. Since a square is a rectangle, a cube has six faces that are all rectangles, so a cube is a rectangular prism.

A **cone** is a solid figure that has a circular face on one end, called the base, and a point at the other end where the sides meet. I'm pretty sure we have all enjoyed an ice cream cone at one point in our lives. The cone that you put the ice cream in is an example of a cone, and what a delicious example! Some other examples could include a megaphone, a tee-pee tent, or a birthday party hat. We see that a parking cone is another example of a cone.

A **pyramid** is a solid figure that has a polygon as its base on one end and triangular faces all meeting at a single point on the other end. Many of us have heard of the Great Pyramids of Egypt. These are a perfect example of a pyramid in the world around us. Some other examples of pyramids in the world around us are rooftops, certain buildings, and figurines.

A **sphere** is a solid figure that is round and has the shape of a ball. For example, a basketball is a sphere. Another example of a sphere is the earth we are standing on! When we look at a globe, we see that the earth is three-dimensional and has the shape of a ball. Therefore, the earth is a sphere.

A **cylinder** is a solid figure that has two circular bases and one curved side. Remember when I explained what a cone is? Well, a cylinder is similar to a cone, except that rather than only one circular base and a point on the other end, there are circular bases on both ends connected by the curved side. Some examples of cylinders are tubes, tree stumps, poles, and cans.

Let's identify each of the following solid figures as rectangular prisms, cubes, spheres, pyramids, cylinders, or cones.

Identify the solid figure:

1.) This is a picture of a baseball. The baseball is a round solid figure that looks like a ball (because it is one!). Therefore, the baseball is a sphere.

2.) The second picture is a picture of a leather box. The leather box is a solid figure that has six faces that are all rectangles. Therefore, the leather box is a rectangular prism.

3.) The tin can in this picture is a solid figure that has two circular bases and one curved side. Therefore, the tin can is a cylinder.

4.) This beautiful blue spruce pine tree is a solid figure that has a large circular base as its bottom and a point at the top that all its sides meet at. Therefore, the tree is a cone.

**Solid figures** are simply three-dimensional objects, and we see them in our everyday life all the time. We've gone over some common solid figures and their properties. They are:

**Rectangular prism**- a solid figure that has six sides, called faces, that are rectangles**Cube**- a solid figure that has six faces that are all squares of the same size**Cone**- a solid figure that has a circular face on one end, called the base, and a point at the other end where the sides meet**Pyramid**- a solid figure that has a polygon as its base on one end and triangular faces all meeting at a single point on the other end**Sphere**- a solid figure that is shaped like a ball**Cylinder**- a solid figure that has two circular bases and one curved side

- Solid figures are objects with a length, width, and height and take up space (3D)
- Solid figures include rectangular prisms, cones, pyramids, cylinders, spheres, and cubes

When you are finished, you should be able to:

- List the properties of solid figures
- Identify and describe types of solid figures

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 160 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
7 in chapter 22 of the course:

Back To Course

High School Trigonometry: Homework Help Resource30 chapters | 203 lessons

- Trigonometric Ratios and Similarity 6:49
- Practice Finding the Trigonometric Ratios 6:57
- The Pythagorean Theorem: Practice and Application 7:33
- Finding Distance with the Pythagorean Theorem 6:54
- Trigonometry and the Pythagorean Theorem 4:14
- Perfect Square: Definition, Formula & Examples 2:55
- Solid Figures: Definition, Properties & Examples 4:20
- Trigonal Bipyramidal in Molecular Geometry: Bond Angles & Shape
- What is a Triangle Pyramid? - Definition & Formula 4:56
- What is Trigonometry? - Functions, Formulas & Applications 5:17
- Go to Triangle Trigonometry: Homework Help

- NYSTCE Elementary Assessment of Teaching Skills - Written (090): Study Guide & Practice
- MTLE Pedagogy - Secondary (Grades 5-12): Study Guide & Practice
- MTLE Pedagogy - Elementary (Grades K-6): Study Guide & Practice
- Computer Science 113: Programming in Python
- CHSPE Information Guide
- Required Assignments for Communications 301
- Required Assignments for Psychology 306
- Computing with Numbers
- Introduction to Python Programming
- Object-Oriented Programming
- When Should I Take The TEAS Test?
- How to Register for the OAE Test
- Study.com ISEE Scholarship: Application Form & Information
- OAE Test Retake Policy
- CHSPE Prep Product Comparison
- OAE Accomodations
- How Long Is the TEAS Test Valid For?

- Integrating Speaking, Listening, Reading & Writing Into ELL Instruction
- Effective Management Styles for Virtual Teams
- Virtual Team Appreciation: Rewards & Recognition
- Lily Wong Fillmore's Theories on Language
- Adaptive Learning Techniques for Organizations
- Applying Shared Vision in an Organization
- How to Adapt Workplace Coaching Communication
- International Money Markets: Features & Opportunities
- Quiz & Worksheet - The Florida Consent Decree
- Quiz & Worksheet - Thomas & Collier's Theories on Language
- Quiz & Worksheet - Checking for Student Understanding
- Quiz & Worksheet - Impact of Diversity on Achievement
- Quiz & Worksheet - Reputation in Othello
- Flashcards - Introduction to Research Methods in Psychology
- Flashcards - Clinical Assessment in Psychology

- Business 110: Business Math
- ACT Prep: Practice & Study Guide
- Principles of Management: Certificate Program
- NY Regents Exam - Earth Science: Help and Review
- TExES Music EC-12 (177): Practice & Study Guide
- Genetics in Development & Psychology: Tutoring Solution
- Characteristics & Chemicals of Life Lesson Plans
- Quiz & Worksheet - The Powers & Election of the Italian President
- Quiz & Worksheet - The Executive Branch of the Federal Republic of Germany
- Quiz & Worksheet - How Air Lift Works
- Quiz & Worksheet - Typical Courses & Degrees for Math Careers
- Quiz & Worksheet - Global Business's Political & Economic Systems

- How Can a Value-Based Career Assessment Help You Choose A Career?
- Alcohol Withdrawal: Symptoms, Timeline & Treatment
- How to Fill Out the PMP Application Form
- McCarthyism Lesson Plan
- PMP Certification Training Costs & Fees
- The Butter Battle Book Lesson Plan
- How Much Does the GMAT Test Cost?
- Fractions Games for Kids
- The Vietnam War After American Involvement: Learning Objectives & Activities
- Study.com's Academic Integrity Policy
- Mexican-American War Lesson Plan
- Lyndon B. Johnson and the Vietnam War: Learning Objectives & Activities

Browse by subject