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Ch 36: FTCE Middle Grades Math: Surface Area & Volume

About This Chapter

These lessons will aid you in your preparations for the FTCE Middle Grades Mathematics exam by helping you review the formulas used to find the volume and surface area of various figures.

FTCE Middle Grades Math: Surface Area & Volume - Chapter Summary

This chapter is composed of a series of video lessons about finding the properties of three-dimensional figures. Use these lessons to prepare for related questions on the FTCE Middle Grades Mathematics exam regarding:

  • Differences between two- and three-dimensional shapes
  • Finding the surface area of cubes and rectangular prisms
  • Calculations for the volume of prisms
  • Area and volume of cones and cylinders
  • Two-dimensional nets of three-dimensional shapes
  • The number of faces, edges and vertices a polyhedron has
  • Cross sections of 3D figures

Following each video lesson you can reinforce your retention of the information presented in it by reading its lesson transcript. Then test your understanding of the information by taking the lesson quiz that accompanies it. Use your quiz results to discover topics you don't understand and then use the video tags to return to and review the parts of the lesson that covered those topics.

11 Lessons in Chapter 36: FTCE Middle Grades Math: 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

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Other Chapters

Other chapters within the FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide course

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