About This Chapter
Volume & Surface Area - Chapter Summary
Consult the lessons in this chapter to review geometric formulas for volume and surface area. You'll go over formulas for a variety of basic shapes, and our expert math instructors will walk you through the steps that are needed for finding the surface areas and volumes for pyramids, cylinders, spheres, cubes and more. Upon completion of the chapter, you should be equipped to:
- Recognize formulas for finding the volumes of basic geometric shapes
- Determine the volumes of spheres, cones, cylinders, prisms and pyramids
- Find the surface areas of cubes, rectangular prisms, cylinders and pyramids
The lessons come with printable transcripts as well as short self-assessment quizzes that help you practice solving volume and surface area problems. You can work through the chapter at your own pace using any Internet-connected device, such as a laptop or smartphone. If you have any questions along the way, feel free to take advantage of our easy-to-use Ask the Expert feature.
1. 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?
2. 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.
3. 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.
4. 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.
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.
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Other chapters within the TASC Mathematics: Prep and Practice course
- TASC Math: Real Numbers
- TASC Math: Complex and Imaginary Numbers Review
- Intro to Algebraic Expressions
- Intro to Algebraic Equations
- TASC Math: Exponents and Exponential Expressions
- Overview of Square Roots
- TASC Math: Radical Expressions
- TASC Math: Functions
- TASC Math: Graphing and Functions
- Overview of Sequences
- TASC Math: Inequalities
- TASC Math: Algebraic Distribution
- TASC Math: Linear Equations
- TASC Math: Factoring
- TASC Math: Quadratic Equations
- TASC Math: Graphing and Factoring Quadratic Equations
- TASC Math: Properties of Polynomial Functions
- TASC Math: Rational Expressions
- TASC Math: Measurement
- Lines, Angles & Arcs
- Shapes in Geometry
- TASC Math: Calculations, Ratios, Percent & Proportions
- TASC Math: Data, Statistics, and Probability
- Making Inferences & Justifying Conclusions in Math
- TASC Mathematics Flashcards