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Ch 11: Geometric Solids

About This Chapter

Watch online math video lessons to learn about cones, pyramids, prisms and platonic solids. These lessons are just a portion of our test prep course for the NY Regents geometry exam.

Geometric Solids - Chapter Summary and Learning Objectives

Flat shapes are cool, but an ability to work with geometric solids can take your math skills into a whole other dimension. Use the lessons in this chapter to learn how 2-D shapes, like triangles, squares and circles, can be used to form pyramids, prisms, spheres and other 3-D shapes. Instructors show you how to calculate their volume and area and introduce you to a special type of polyhedron known as a platonic solid. Lessons in this chapter are designed to teach you about the following:

  • Properties of polyhedrons and platonic solids
  • Formulas for finding the area and volume of geometric solids
  • Characteristics of prisms, pyramids, cylinders, cones and spheres

Video Objectives
Planes and the Polyhedron: Definition and Example Explore the 2-D surfaces of planes. Learn how they relate to polyhedrons, and get real-life examples of these shapes.
What Are Platonic Solids? - Definition and Types Survey characteristics of tetrahedrons, cubes, octahedrons, dodecahedrons and icosahedrons.
Prisms: Definition, Area & Volume Differentiate between triangular, square and pentagonal prisms. Calculate the surface area and volume for each type.
Pyramids: Definition, Area & Volume Apply the formulas used to calculate the surface area and volume of square and triangular pyramids.
What Are Cylinders? - Definition, Area & Volume Use the height of a cylinder and the radius of its base to determine surface area and volume.
Cones: Definition, Area & Volume Enter a cone's height, the length of its side and the radius of its base into the formulas for surface area and volume.
Spheres: Definition, Area & Volume Calculate a sphere's surface area and volume using the radius.

7 Lessons in Chapter 11: Geometric Solids
Test your knowledge with a 30-question chapter practice test
Planes and the Polyhedron: Definition and Example

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.

What Are Platonic Solids? - Definition and Types

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.

Prisms: Definition, Area & Volume

3. 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

4. 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

5. 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

6. 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

7. 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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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