Ch 32: MTLE Mathematics: Surface Area & Volume

About This Chapter

As part of our MTLE Mathematics preparation course and study guide, the Surface Area & Volume chapter will help you prepare for questions you might see on your exam. We have a combination of expert-led video and text lessons, along with self-assessment quizzes at the end of each lesson, to help you learn at your own pace and focus on the topics you're struggling with.

MTLE Mathematics: Surface Area & Volume

In this chapter we'll taking a look at the structure of basic three-dimensional shapes and learning techniques for calculating their surface area and volume. After completing these lessons, you should be ready for test questions on:

  • Definition and examples of 3D shapes
  • Formulas for surface area
  • Finding surface area of a cube and rectangular prism
  • Calculating volumes of basic shapes
  • Calculating area and volume of prisms, cones and cylinders
  • Applying scale factors to similar figures
  • Nets of three-dimensional figures
  • Counting faces, edges, and vertices polyhedrons
  • Finding the cross sections of 3D figures and revolution

Our expert instructors will show you effective techniques for finding the surface area and volume of different shapes and some of the concepts behind the construction of these basic shapes. The video lessons come with convenient video tags that let you return to specific topics for review. Accurate transcripts help you become well-prepared to answer surface area and volume questions on your MTLE Mathematics test.

11 Lessons in Chapter 32: MTLE Mathematics: Surface Area & Volume
Test your knowledge with a 30-question chapter practice test
What are 3D Shapes? - Definition & Examples

1. What are 3D Shapes? - Definition & Examples

What's the difference between 2D and 3D shapes? Learn the answer to this question in this lesson. You will also explore what makes spheres and cubes 3D shapes.

What is Surface Area? - Definition & Formulas

2. What is Surface Area? - Definition & Formulas

In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.

How to Find Surface Area of a Cube and a Rectangular Prism

3. How to Find Surface Area of a Cube and a Rectangular Prism

After watching this video lesson, you will be able to use the formula for the surface area of a rectangular prism. You will know what measurements you need to use it and how you can apply it to a cube as well.

How to Calculate the Volumes of Basic Shapes

4. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

Prisms: Definition, Area & Volume

5. 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.

What Are Cylinders? - Definition, Area & Volume

6. 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

7. 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.

Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

8. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

Nets of 3-Dimensional Figures

9. 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.

Counting Faces, Edges & Vertices of Polyhedrons

10. 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.

Cross-Sections of 3D Figures & Revolutions of Solids

11. Cross-Sections of 3D Figures & Revolutions of Solids

In this lesson, we will study the connections between 2-dimensional and 3-dimenstional shapes by looking at the similarities between their nets, cross sections, and revolutions.

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 MTLE Mathematics: Practice & Study Guide course

Support