Back To Course

High School Trigonometry: Homework Help Resource30 chapters | 203 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 55,000 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 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
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

- FTCE ESOL K-12 (047): Practice & Study Guide
- GACE Media Specialist Test II: Practice & Study Guide
- GACE Media Specialist Test I: Practice & Study Guide
- GACE Political Science Test II: Practice & Study Guide
- NES Essential Components of Elementary Reading Instruction: Test Practice & Study Guide
- 20th Century Spanish Literature
- Sun, Moon & Stars Lesson Plans
- Direct Action & Desegregation from 1960-1963
- Civil Rights Movement from the Civil War to the 1920s
- Civil Rights in the New Deal & World War II Era
- Common Core State Standards in Ohio
- Resources for Assessing Export Risks
- Preview Personal Finance
- California School Emergency Planning & Safety Resources
- Popsicle Stick Bridge Lesson Plan
- California Code of Regulations for Schools
- WV Next Generation Standards for Math

- The Chorus in Antigone
- Where is Mount Everest Located? - Lesson for Kids
- Sperm Cell Facts: Lesson for Kids
- The Motivational Cycle: Definition, Stages & Examples
- Bolivian President Evo Morales: Biography & Quotes
- Labor Unions for Physicians: Benefits & Factors
- Positive Attitude & Call Center Performance
- Chicken Facts: Lesson for Kids
- Quiz & Worksheet - Converting English Measurement Units
- Quiz & Worksheet - What Is Felony Murder?
- Quiz & Worksheet - Characteristics of Agile Companies
- Quiz & Worksheet - A Bend in the River
- Quiz & Worksheet - Sentence Fluency
- Growth & Opportunity for Entrepreneurs Flashcards
- Understanding Customers as a New Business Flashcards

- SAT Writing Section: Prep & Practice
- AP Calculus AB: Exam Prep
- Remedial 12th Grade English
- Holt McDougal Algebra I: Online Textbook Help
- GRE Biology Study Guide & Test Prep
- MTTC Math (Secondary): Introduction to Fractions
- MTTC Math (Secondary): Vectors, Matrices & Determinants
- Quiz & Worksheet - Banding Rows & Columns in Excel Tables
- Quiz & Worksheet - Appending Multiple Excel Worksheets
- Quiz & Worksheet - Using HTML Software to Create Webpages
- Quiz & Worksheet - Models for International Business Expansion
- Quiz & Worksheet - Characteristics of Inner Cities in the U.S.

- The Battle of Ap Bac: Causes and Impacts
- The Relationship Between Asperger's & Anger
- Romeo and Juliet Project Ideas
- Teacher Associations in Texas
- Counting Money Lesson Plan
- Study.com's GED Program for Enterprise
- Day of the Dead Lesson Plan
- Dolch Sight Words for Fourth Grade
- How to Pass the Bar Exam
- What is a Lexile Score?
- Study.com's Academic Integrity Policy
- Passing Score for the TExES Core Subjects EC-6

Browse by subject