# Ch 10: ISTEP+ Grade 8 Math: Geometric Figures

### About This Chapter

## ISTEP+ Grade 8 Math: Geometric Figures - Chapter Summary

With the lessons of this chapter, you will review how to find the properties of cubes, rectangular prisms, cylinders, pyramids, cones and spheres. Each lesson is taught by a professional instructor who will explain the mathematical process of finding these properties by demonstrating example problems. Following these lessons, you should have a better understanding of:

- The relationships between planes and polyhedrons
- Different types of platonic solids
- Calculations for the surface area of cubes and rectangular prisms
- Finding the surface area of cylinders and pyramids
- Calculations for the volume of prisms and pyramids
- Finding the volume of cylinders, cones and spheres
- Constructing and measuring right rectangular prisms using nets

Read the lesson transcripts to further reinforce your understanding of these lessons. These written overviews will also help you study the key terms in the chapter. After each lesson, you can also test your understanding of the material by taking the lesson quizzes. Then use the video tags from the quiz results to return to and review the parts of the lessons that explained the topics you missed.

### ISTEP+ Grade 8 Math: Geometric Figures Objectives

The Indiana Statewide Testing for Educational Progress Plus (ISTEP+) Grade 8 Mathematics test is used to determine if 8th grade students have learned what they need to learn about mathematics during their 8th grade school year. Completing it involves taking two test: an applied-skills assessment and a multiple-choice assessment. To do well on these tests, you will need to accurately responded to a series of essay, open-ended and multiple-choice questions. Out these questions, you can expect 20-30% to measure your understanding of geometry and measurements, including how to find the properties of three dimensional figures.

### 1. Overview of Three-dimensional Shapes in Geometry

We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.

### 2. 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.

### 3. 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.

### 4. How to Find the 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.

### 5. How to Find Surface Area of a Cylinder

Watch this video lesson to learn the formula you can use to find the surface area of a cylinder. Learn the measurements that you'll need as well as how to use them.

### 6. How to Find Surface Area of a Pyramid

In this video lesson, we will learn how to take any pyramid, whether it's a pyramid in Egypt or a little toy pyramid, and calculate how much paint we will need to paint it. Learn the formula and what is behind it.

### 7. Volume of Prisms and Pyramids

In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.

### 8. Volume of Cylinders, Cones, and Spheres

In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.

### 9. Constructing & Measuring Right Rectangular Prisms From Nets

After reading this lesson, you'll learn how you can create your own nets to make your own rectangular prism boxes for gifts. You'll also learn how you can figure out how much gift wrapping you'll need.

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### Other Chapters

Other chapters within the ISTEP+ Grade 8 - Math: Test Prep & Practice course

- ISTEP+ Grade 8 Math: Rational & Irrational Numbers
- ISTEP+ Grade 8 Math: Operations with Rational Numbers
- ISTEP+ Grade 8 Math: Exponents
- ISTEP+ Grade 8 Math: Square Roots
- ISTEP+ Grade 8 Math: Scientific Notation
- ISTEP+ Grade 8 Math: Linear Equations
- ISTEP+ Grade 8 Math: Inequalities
- ISTEP+ Grade 8 Math: Properties of Functions
- ISTEP+ Grade 8 Math: Rational Expressions & Functions
- ISTEP+ Grade 8 Math: Geometric Transformations
- ISTEP+ Grade 8 Math: Pythagorean Theorem
- ISTEP+ Grade 8 Math: Analyzing Data
- ISTEP+ Grade 8 Math: Probability
- ISTEP+ Grade 8 Math: Mathematical Process
- ISTEP+ Grade 8 - Math Flashcards