# Ch 33: Praxis I Math: Geometric Measurement and Dimension

### About This Chapter

## Praxis I Math: Geometric Measurement and Division

This chapter is structured to aid you in learning more about geometric properties, the xy-coordinate plane, geometric reasoning and systems of measurement as you ready yourself to take the Praxis I Math exam. Specific topics in our video lessons include:

- Triangle and angle practice problems
- Area of rectangles and triangles
- Surface area
- The volume of basic shapes

Each topic will be fully dissected by video instructors who will also offer you advice on how you can use the information you learn on the actual exam. Several different approaches will be used throughout the lessons to keep the chapter engaging and to make sure that you're ready for the Praxis.

### Objectives of the Praxis I Math: Geometric Measurement and Dimension Chapter

The goal of the Praxis I Math exam is to measure the mathematical skills and ideas that an educated adult could need. The test also focuses on the top mathematical ideas as well as the test taker's ability to solve problems and reason in a quantitative context. Each video lesson is design to assist you with the geometry and measurement portion of the Praxis, which is about 22.5% of the exam. Typically, there are ten questions on the skills test related to measurement and geometry. You'll have 75 minutes to finish all 46 multiple choice questions on the test. You'll get a first-hand glimpse of how questions are designed on the actual test as you complete the self-assessment quizzes in addition to seeing how well you'll be able to use the methods you learn on the Praxis.

### 1. Perimeter of Triangles and Rectangles

Perimeter is defined as the combined distance around a shape, object, or figure, while the perimeter of any polygon can be determined by adding the length of all sides. Learn about perimeter, how to use mathematical formulas to calculate the perimeter of triangles and rectangles, and how to use perimeter to determine the length of unknown polygon sides.

### 2. Area of Triangles and Rectangles

The area of a two-dimensional shape represents the space covered within its perimeter, but area calculations change depending on the shape. Learn how to calculate and solve the areas of right triangles, oblique triangles, and rectangles.

### 3. Interior and Exterior Angles of Triangles: Definition & Examples

Triangles have interior angles and also exterior angles that are created when an adjacent side of a triangle is extended. Explore the definition and examples of the interior and exterior angles of triangles, learn how to use the properties of triangles and angles to find missing angles, and work practice problems to gain more understanding.

### 4. Measuring the Area of Regular Polygons: Formula & Examples

In geometry, a polygon is any two-dimensional shape enclosed with straight lines. Explore the formula and examples for measuring the area of a regular polygon, learn about a regular polygon's sides, and review the apothem.

### 5. Measuring the Area of a Trapezoid

In mathematics, a trapezoid is a four-sided figure with two sides that are parallel. Learn how to measure the area of a trapezoid. Review how to identify measurements, and practice using the formula to calculate a trapezoid's area.

### 6. Measuring the Area of a Parallelogram: Formula & Examples

Measuring the area of a parallelogram involves labelling the base and height measurements and using a formula. Understand the information needed to use the formula, learn why it's important to label measurements, and see the steps to solve for the area through a detailed example.

### 7. Measuring the Area of a Rectangle: Formula & Examples

From a computer screen to the neighbor's swimming pool to the ice cube tray in the freezer, rectangles abound. Learn to identify a rectangle and how to use a formula to measure its area, including square footage, through a real-world example.

### 8. Measuring the Area of a Rhombus: Formula & Examples

There are several measurements applied to a rhombus. Learn what a rhombus is and how to measure it using formulas and examples for the altitude and side, side and angle, and diagonals.

### 9. Combined Figures: Perimeter, Area, and Volume

Combined figures are shapes that are composed of a combination of simpler shapes. Explore how to find the perimeter, area, and volume of a combined figure.

### 10. Area of Complex Figures

The area of complex figures can be calculated by separating them into rectangles, triangles, and other shapes. Learn how to find the area of complex figures by reviewing basic shapes, complex shapes, and parts of shapes.

### 11. How to Calculate the Volumes of Basic Shapes

The basic formula for volume is length * width * height and is necessary in geometry and the science of understanding mass in the form of basic shapes. Learn more about how to calculate the volumes of basic shapes and use the methodologies.

### 12. Cylinder: Definition, Surface Area & Volume

In geometry, the shape of a soda can is an example of a cylinder. Learn how to define cylinders and the formulas used to measure a cylinder's surface area and volume.

### 13. Volume & Surface Area of a Sphere

The volume and surface area of a sphere can be calculated when the sphere's radius is given. Learn about the shape sphere and its radius, and understand how to calculate the volume and surface area of a sphere through some practice problems.

### 14. Pyramids: Definition, Area & Volume

In geometry, pyramids are defined as three-dimensional objects with a polygonal base and sides that meet at the same point at the top, which is called the apex. Learn to identify and define pyramid shapes and how to measure their surface area and volume.

### 15. Cones: Definition, Area & Volume

A cone is defined as a three-dimensional object with a flat base and a single curved side that comes to a point at the top. Learn the formulas for measuring this shape, including surface area and volume.

### 16. Prisms: Definition, Area & Volume

Recognized by their base shape, prisms are objects that are three-dimensional and have straight parallel sides, top, and bottom. Discover more about prisms, including their measurements and how to find the surface area and volume.

### 17. 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.

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

A cylinder is a three-dimensional shape that is round and has a circular top and bottom. This lesson explores how to find the surface area of a cylinder using a formula.

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

A pyramid is a three-dimensional shape with a square or triangular base and sloping sides that meet in a point at the top. This lesson explores how to find the surface area of a pyramid using a formula.

### 20. Volume of a Frustum of Pyramids & Cones

Learn how to calculate the volumes of a pyramid, frustum, and cone. Discover the formulas for calculating each shape's volume and how similar triangles can be used to determine the volume of a frustum.

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### Other Chapters

Other chapters within the College Preparatory Mathematics: Help and Review course

- Math Foundations: Help and Review
- Problem Solving & Reasoning Skills
- Percents in Math Basics
- Decimals & Fractions Overview
- Understanding Fractions & Mixed Numbers
- Linear Equations: Help and Review
- Solving and Graphing Inequalities: Help and Review
- Graphing and Factoring Quadratic Equations: Help and Review
- Complex and Imaginary Numbers: Help and Review
- Properties of Exponents: Help and Review
- Praxis I Math: Square Roots
- Properties of Polynomial Functions: Help and Review
- Simplifying and Solving Rational Expressions: Help and Review
- Praxis I Math: Algebraic Expressions
- Properties of Functions: Help and Review
- Logarithms and Exponential Equations: Help and Review
- Data & Estimation
- Logic in Math: Help and Review
- Sets: Help and Review
- Basic Probability and Statistics: Help and Review
- Praxis I Math: Basic Statistics and Probability
- Geometric Laws & Proofs
- Grade Level Math Vocabulary: Help and Review
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Congruence and Similarity