# Ch 51: MTTC Math (Secondary): Polyhedrons & Geometric Solids

### About This Chapter

## MTTC Math (Secondary): Polyhedrons & Geometric Solids - Chapter Summary

Watch our professional instructors in this series of lesson videos as they explain the different types and components of polyhedrons. Also follow along with these instructors as they demonstrate how to find the properties of the different polyhedrons. Once you've finished this chapter you should be better prepared for questions on the MTTC Mathematics (Secondary) exam asking about:

- Characteristics and types of polyhedrons
- Faces, edges and vertices
- Front views, side views, top views and nets of 3D figures
- Different applications of polyhedrons
- Platonic solids
- Finding the surface area of prisms, pyramids, cylinders, cones and spheres
- Calculating the volume of prisms, pyramids, cylinders, cones and spheres

After watching these lesson videos, take the assessments that accompany them to find out what topics you don't understand, then return to the lessons to fortify your understanding of these topics. When you return to the lessons use the video tags to go directly to the topics you need to review and skip over the topics you already know. If you feel you would benefit more from an alternative review of the material, read over the lesson transcripts that present the same information in an easy to read format.

### 1. What is a Polyhedron? - Characteristics & Examples

After watching this video lesson, you will be able to identify a polyhedron when you see one. You will also be able to tell your friends what the distinguishing identifying factor of a polyhedron is.

### 2. Types of Polyhedrons

After watching this video lesson, you will know how to identify polyhedrons and you will become familiar with the common types of polyhedrons found in the world. You will also see real-world examples of polyhedrons in action.

### 3. Counting Faces, Edges & Vertices of Polyhedrons

After watching this video lesson, you will be able to count how many faces, edges, and vertices a polyhedron has. Also, you will learn how the number of faces, edges, and vertices are related.

### 4. Front, Side & Top View of 3-Dimensional Figures

This lesson goes over the front, side, and top views of numerous 3-dimensional figures. You'll learn that while some look exactly the same from most angles, others do not.

### 5. Nets of 3-Dimensional Figures

After watching this video lesson, you will be able to deconstruct a 3-dimensional figure into its 2-dimensional net. Learn what kind of shape you will get after opening and flattening your 3-dimensional figure.

### 6. Planes and the Polyhedron: Definition and Example

Did you ever wonder what the pyramids in Egypt have to do with math? Watch this video to find out where in math a pyramid comes into play. Also, learn how flat, 2-dimensional shapes also come into play.

### 7. What Are Platonic Solids? - Definition and Types

Watch this video lesson, and you will learn that there are only five platonic solids in the whole world. You will also learn what they look like and see real-life examples.

### 8. Prisms: Definition, Area & Volume

Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.

### 9. Pyramids: Definition, Area & Volume

Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.

### 10. Cylinder: Definition, Surface Area & Volume

Watch this video lesson to learn the definition of a cylinder, how to find its surface area, and how to calculate the volume. Formulas and examples will be provided.

### 11. Cones: Definition, Area & Volume

Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.

### 12. Volume & Surface Area of a Sphere

Watch this video lesson to learn how to find the volume and surface area of a sphere. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.

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### Other Chapters

Other chapters within the MTTC Mathematics (Secondary) (022): Practice & Study Guide course

- MTTC Math (Secondary): Reasoning & Problem Solving
- MTTC Math (Secondary): Basic Arithmetic
- MTTC Math (Secondary): Absolute Value
- MTTC Math (Secondary): Integers
- MTTC Math (Secondary): Introduction to Fractions
- MTTC Math (Secondary): Operations with Fractions
- MTTC Math (Secondary): Introduction to Decimals
- MTTC Math (Secondary): Operations with Decimals
- MTTC Math (Secondary): Percents
- MTTC Math (Secondary): Estimating & Rounding
- MTTC Math (Secondary): Rational & Irrational Numbers
- MTTC Math (Secondary): Complex Numbers
- MTTC Math (Secondary): Properties of Real Numbers
- MTTC Math (Secondary): Exponents & Exponential Expressions
- MTTC Math (Secondary): Roots & Radical Expressions
- MTTC Math (Secondary): Scientific Notation
- MTTC Math (Secondary): Number Theory
- MTTC Math (Secondary): Ratios & Rates
- MTTC Math (Secondary): Proportions
- MTTC Math (Secondary): Vectors, Matrices & Determinants
- MTTC Math (Secondary): Sequences
- MTTC Math (Secondary): Series
- MTTC Math (Secondary): Factoring
- MTTC Math (Secondary): Properties of Functions
- MTTC Math (Secondary): Graphing Functions
- MTTC Math (Secondary): The Coordinate Graph & Graph Symmetry
- MTTC Math (Secondary): Linear Equations
- MTTC Math (Secondary): Systems of Equations
- MTTC Math (Secondary): Inequalities
- MTTC Math (Secondary): Quadratic Equations
- MTTC Math (Secondary): Working with Quadratic Equations
- MTTC Math (Secondary): Polynomial Functions
- MTTC Math (Secondary): Higher-Degree Polynomial Functions
- MTTC Math (Secondary): Piecewise Functions
- MTTC Math (Secondary): Rational Expressions & Functions
- MTTC Math (Secondary): Exponential & Logarithmic Functions
- MTTC Math (Secondary): Trigonometric Functions
- MTTC Math (Secondary): Solving Trigonometric Equations
- MTTC Math (Secondary): Limits
- MTTC Math (Secondary): Continuity of a Function
- MTTC Math (Secondary): Rate of Change & Derivatives
- MTTC Math (Secondary): Calculating Derivatives & Derivative Rules
- MTTC Math (Secondary): Graphing Derivatives & L'Hopital's Rule
- MTTC Math (Secondary): Applications of Derivatives
- MTTC Math (Secondary): Area Under the Curve & Integrals
- MTTC Math (Secondary): Integration & Integration Techniques
- MTTC Math (Secondary): Integration Applications
- MTTC Math (Secondary): Differential Equations
- MTTC Math (Secondary): Units & Systems of Measurement
- MTTC Math (Secondary): Perimeter & Area
- MTTC Math (Secondary): Symmetry, Similarity & Congruence
- MTTC Math (Secondary): Points, Lines & Angles
- MTTC Math (Secondary): Triangles
- MTTC Math (Secondary): Triangle Theorems & Proofs
- MTTC Math (Secondary): Similar Triangles & Polygons
- MTTC Math (Secondary): The Pythagorean Theorem
- MTTC Math (Secondary): Quadrilaterals
- MTTC Math (Secondary): Circles
- MTTC Math (Secondary): Circular Arcs & Measurement
- MTTC Math (Secondary): Conic Sections
- MTTC Math (Secondary): Polar Coordinates & Parametric Equations
- MTTC Math (Secondary): Transformations
- MTTC Math (Secondary): Types of Graphs, Tables, & Data
- MTTC Math (Secondary): Data & Statistics
- MTTC Math (Secondary): Collecting & Analyzing Data
- MTTC Math (Secondary): Samples & Populations in Research
- MTTC Math (Secondary): Probability
- MTTC Math (Secondary): Discrete & Finite Math
- MTTC Mathematics (Secondary) Flashcards