# Ch 41: MTTC Mathematics (Elementary): Principles of Geometric Solids

### About This Chapter

## MTTC Mathematics (Elementary): Principles of Geometric Solids - Chapter Summary

Use the lessons in this chapter to get reacquainted with the principles of geometric solids. You can ensure you're able to answer related questions on the MTTC Mathematics (Elementary) assessment by reviewing lessons that enable you to:

- Define planes, the polyhedron and platonic solids
- Discuss three-dimensional geometric shapes
- Share the definitions, areas and volumes of prisms, pyramids, cylinders, cones and spheres
- Explain how to calculate the volumes of basic shapes, cylinders, cones, spheres, prisms and pyramids
- Demonstrate how to construct two-dimensional models for three-dimensional shapes

Take advantage of the ability to study for principles of geometric solids exam topics at your leisure using the resources in this chapter. Watch videos on your home computer, smartphone or tablet any time, day or night. Before, during or after watching each lesson, take the lesson quiz to test your comprehension of concepts covered. Retake the quizzes as often as needed until you're sure you fully comprehend the lessons in this chapter.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 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.

### 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.

### 8. 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.

### 9. 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?

### 10. 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.

### 11. 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.

### 12. 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.

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### Other Chapters

Other chapters within the MTTC Mathematics (Elementary) (089): Practice & Study Guide course

- MTTC Mathematics (Elementary): Mathematical Reasoning
- MTTC Mathematics (Elementary): Problem-Solving Strategies
- MTTC Mathematics (Elementary): Proportions & Ratios
- MTTC Mathematics (Elementary): Principles of Fractions
- MTTC Mathematics (Elementary): Operations with Fractions
- MTTC Mathematics (Elementary): Introduction to Decimals
- MTTC Mathematics (Elementary): Operations with Decimals
- MTTC Mathematics (Elementary): Percents
- MTTC Mathematics (Elementary): Whole Numbers & Number Terms
- MTTC Mathematics (Elementary): Real Numbers
- MTTC Mathematics (Elementary): Properties of Numbers
- MTTC Mathematics (Elementary): Integers
- MTTC Mathematics (Elementary): Rational Numbers
- MTTC Mathematics (Elementary): Mathematical Operations
- MTTC Mathematics (Elementary): Factoring & Divisibility
- MTTC Mathematics (Elementary): Prime Factorization
- MTTC Mathematics (Elementary): Roots
- MTTC Mathematics (Elementary): Exponents
- MTTC Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTTC Mathematics (Elementary): Absolute Value
- MTTC Mathematics (Elementary): Sequences & Series
- MTTC Mathematics (Elementary): Patterns & Functions
- MTTC Mathematics (Elementary): Understanding Algebraic Expressions
- MTTC Mathematics (Elementary): Solving Algebraic Expressions
- MTTC Mathematics (Elementary): Linear Equations
- MTTC Mathematics (Elementary): Graphing Linear Equations
- MTTC Mathematics (Elementary): Properties of Polynomial Functions
- MTTC Mathematics (Elementary): Properties of Quadratic Functions
- MTTC Mathematics (Elementary): Properties of Rational Functions
- MTTC Mathematics (Elementary): Exponential & Logarithmic Functions
- MTTC Mathematics (Elementary): Trigonometric Functions
- MTTC Mathematics (Elementary): Calculus Concepts
- MTTC Mathematics (Elementary): Principles of Measurement
- MTTC Mathematics (Elementary): Lines in Geometry
- MTTC Mathematics (Elementary): Geometric Figures
- MTTC Mathematics (Elementary): Triangles
- MTTC Mathematics (Elementary): Triangle Proofs & Theorems
- MTTC Mathematics (Elementary): Quadrilaterals
- MTTC Mathematics (Elementary): Polygons
- MTTC Mathematics (Elementary): Circles & Circular Arcs
- MTTC Mathematics (Elementary): Symmetry & Parallel Lines
- MTTC Mathematics (Elementary): Transformations in Geometry
- MTTC Mathematics (Elementary): Coordinate Geometry
- MTTC Mathematics (Elementary): Organizing Data
- MTTC Mathematics (Elementary): Summarizing Data
- MTTC Mathematics (Elementary): Sampling & Prediction
- MTTC Mathematics (Elementary): Regression & Correlation
- MTTC Mathematics (Elementary): Probability
- MTTC Mathematics (Elementary): Probability Distributions
- MTTC Mathematics (Elementary): Discrete Mathematics
- MTTC Mathematics (Elementary) Flashcards