# Ch 18: CAHSEE - Perimeter, Area & Volume in Geometry: Tutoring Solution

### About This Chapter

## How it works:

- Begin your CAHSEE math exam prep.
- Identify the geometry concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our CAHSEE Tutoring Solution will benefit any student who is trying to learn about perimeter, area and volume in geometry and earn passing scores on the exam. This resource can help students including those who:

- Struggle with understanding how to calculate the area, perimeter and volume of cubes, cylinders, pyramids or other geometrical figures
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning about math visually
- Find themselves struggling with their CAHSEE math exam preparations
- Cope with ADD or ADHD
- Want to get ahead in high school math
- Don't have access to CAHSEE math exam prep materials

## Why it works:

**Engaging Tutors:**We make learning about perimeter, area and volume in geometry simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live math tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about geometry on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Become familiar with three-dimensional figures in geometry.
- Learn how to find the perimeters and areas of rectangles and triangles.
- Explain how to find the area and circumference of a circle.
- Determine the volumes of cones, cylinders, spheres, pyramids and prisms.
- Be able to find the surface areas of cylinders, pyramids, cubes and rectangular prisms.
- Understand how to find the areas of irregular and complex two- and three-dimensional shapes.
- Find the perimeter of a three-dimensional object composed of rectangular solids.
- Apply scale factors to the dimensions of similar figures.
- Take a look at real-world problems involving perimeter, area and volume.

### 1. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

### 2. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 3. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. How to Find the Perimeter of a Rectangle: Formula & Example

In this lesson, you'll review the properties of a rectangle. Then you'll learn how to find the perimeter of a rectangle. Afterward, you can test your knowledge with a brief quiz.

### 11. How to Find the Volume of a Box

Volume is simply the amount of space that a substance (or object) takes up in a container. In this lesson, you will specifically explore the equation and application for the volume of a box.

### 12. Lateral Surface Area: Definition & Formula

In this lesson, you will learn the definition of the lateral surface area of a three-dimensional object. You will apply lateral surface area formulas for some three-dimensional shapes to see how to find the lateral surface area of various objects.

### 13. Total Surface Area: Definition & Formula

This lesson will define and explain what total surface area is and provide the formulas for calculating total surface area, as well as an explanation about why they work.

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### Other Chapters

Other chapters within the CAHSEE Math Exam: Tutoring Solution course

- CAHSEE - Number Theory & Basic Arithmetic: Tutoring Solution
- CAHSEE - Problems with Decimals and Fractions: Tutoring Solution
- CAHSEE - Problems with Percents: Tutoring Solution
- CAHSEE - Problems with Radical Expressions & Equations: Tutoring Solution
- CAHSEE - Problems with Algebraic Expressions and Equations: Tutoring Solution
- CAHSEE - Algebraic Linear Equations & Inequalities: Tutoring Solution
- CAHSEE - Problems with Exponents: Tutoring Solution
- CAHSEE - Overview of Functions: Tutoring Solution
- CAHSEE - Rational Expressions: Tutoring Solution
- CAHSEE - Calculations with Ratios, Percent & Proportions: Tutoring Solution
- CAHSEE - Matrices and Absolute Value: Tutoring Solution
- CAHSEE - Quadratics & Polynomials: Tutoring Solution
- CAHSEE - Geometry: Graphing Basics: Tutoring Solution
- CAHSEE - Graphing on the Coordinate Plane: Tutoring Solution
- CAHSEE - Measurement in Math: Tutoring Solution
- CAHSEE - Properties of Shapes: Tutoring Solution
- CAHSEE - Triangles, the Pythagorean Theorem & Congruency: Tutoring Solution
- CAHSEE - Statistics, Probability & Working with Data: Tutoring Solution
- CAHSEE - Mathematical Reasoning: Tutoring Solution
- CAHSEE - Logic: Tutoring Solution