Ch 38: NMTA Middle Grades Math: Polyhedrons & Geometric Solids

About This Chapter

Review platonic solids, surface area, volume, and other geometry-related topics found on the NMTA Middle Grades Math exam. This collection of entertaining videos and quizzes makes it easy to prepare for your teacher licensing exam.

NMTA Middle Grades Math: Polyhedrons & Geometric Solids - Chapter Summary

Use this chapter to get ready for measurement and geometry questions on the NMTA Middle Grades Math exam. Illustrated video lessons examine the properties of 3-dimensional shapes to help you review the following topics:

  • Characteristics and types of polyhedrons
  • Three-dimensional figures and counting faces
  • Various views of three-dimensional figures
  • Plane sections of three-dimensional figures
  • Properties of platonic solids
  • Prism surface area and volume
  • Surface area and volume of pyramids
  • Cylinder surface area and volume
  • Surface area and volume of cones
  • Sphere surface area and volume

This chapter includes fun video illustrations and transcripts that make it easy to review 3-dimensional shape properties or formulas for surface area and volume. If you'd like to affirm your understanding of these topics, you can also take multiple-choice lesson quizzes and a chapter exam.

NMTA Middle Grades Math: Polyhedrons & Geometric Solids Chapter Objectives

This chapter can help you prepare for some of the NMTA Middle Grades Math questions found in the Measurement and Geometry content domain, which includes around a quarter of the exam's 150 multiple-choice questions. These types of questions test your ability to analyze 3-dimensional figures with cross sections and nets and use your knowledge of 3-dimensional shape properties to solve problems, among other competencies.

Answers to these questions as well as those appearing in the Number Sense and Operations; Algebra and Functions; and Probability and Statistics content domains of the exam are used to determine the academic preparedness of prospective middle grades math teachers in New Mexico.

11 Lessons in Chapter 38: NMTA Middle Grades Math: Polyhedrons & Geometric Solids
Test your knowledge with a 30-question chapter practice test
Types of Polyhedrons

1. 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.

Counting Faces, Edges & Vertices of Polyhedrons

2. 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.

Front, Side & Top View of 3-Dimensional Figures

3. 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.

Nets of 3-Dimensional Figures

4. 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.

Planes and the Polyhedron: Definition and Example

5. 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.

What Are Platonic Solids? - Definition and Types

6. 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.

Prisms: Definition, Area & Volume

7. 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.

Pyramids: Definition, Area & Volume

8. 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.

What Are Cylinders? - Definition, Area & Volume

9. What Are Cylinders? - Definition, Area & Volume

Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.

Cones: Definition, Area & Volume

10. 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.

Spheres: Definition, Area & Volume

11. Spheres: Definition, Area & Volume

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

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 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

Transferring credit to the school of your choice

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.

Other Chapters

Other chapters within the NMTA Middle Grades Mathematics (203): Practice & Study Guide course

Support