Dimensions
Dimensions refer to the measurement of the size of an object in terms of length, width, and height. In mathematics, dimensions can also refer to the number of coordinates needed to specify a point in space. The concept of dimensions is used in various mathematical and physical contexts, including geometry, algebra, and physics.
Types of Dimensions
In geometry, we commonly deal with two types of dimensions:
- Length, Width, and Height: These are the three dimensions that describe the size of an object in three-dimensional space.
- Coordinate Dimensions: In coordinate geometry, the number of coordinates needed to specify a point in space determines the dimension of the space. For example, a point in a two-dimensional plane has two coordinates (x, y), while a point in a three-dimensional space has three coordinates (x, y, z).
Study Guide
Here are some key topics to cover when studying dimensions:
- Understanding the concept of length, width, and height in three-dimensional space.
- Exploring coordinate geometry and how the number of coordinates determines the dimension of a space.
- Practicing problems involving dimensions, such as finding the volume of 3D shapes, determining the coordinates of points in different dimensions, and visualizing objects in various dimensions.
- Applying the concept of dimensions to real-world scenarios, such as understanding the dimensions of buildings, objects, and geometric figures.
By mastering the concept of dimensions, you'll be able to tackle a wide range of mathematical problems and understand the spatial relationships of objects in different dimensions.
[Dimensions] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Eighth Grade. Real numbers
Study Guide
Real numbers 
Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
The Number System
Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]
Expressions and Equations
Work with radicals and integer exponents.
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]