Lateral Faces

In geometry, the lateral faces of a three-dimensional shape are the faces that are not the base(s) of the shape. Lateral faces are the sides of the shape that connect the bases. For example, in a rectangular prism, the top and bottom faces are the bases, while the four vertical faces are the lateral faces.

Study Guide

To understand lateral faces better, it's important to practice identifying them in different three-dimensional shapes. Here are some key points to remember:

Identify the Bases: First, identify the base(s) of the shape. These are the faces that form the bottom and top (or just the bottom) of the shape. For example, in a cylinder, the circular faces at the top and bottom are the bases.
Count the Other Faces: Once the bases are identified, count the remaining faces. These are the lateral faces. For a cube, there are 6 faces in total, so if you subtract the 2 bases, you'll find that there are 4 lateral faces.
Understand the Role: Lateral faces play a significant role in determining the surface area and volume of three-dimensional shapes. Understanding the concept of lateral faces will help in calculating these properties for different shapes.

It's also beneficial to work through practice problems and visualize the lateral faces of various shapes to reinforce the concept. With enough practice, identifying lateral faces will become second nature, and you'll be able to apply this knowledge to solve more complex geometry problems.

Remember, lateral faces are the sides of a three-dimensional shape that connect the bases, and they are essential for understanding the overall structure of the shape and its properties.

◂Math Worksheets and Study Guides Sixth Grade. Proportions/Equivalent Fractions

Study Guide

Proportions/Equivalent Fractions

Worksheet/Answer key

Proportions/Equivalent Fractions

Worksheet/Answer key

Proportions/Equivalent Fractions

Worksheet/Answer key

Proportions/Equivalent Fractions

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Grade 6 Curriculum Focal Points (NCTM)

Number and Operations: Connecting ratio and rate to multiplication and division

Students use simple reasoning about multiplication and division to solve ratio and rate problems (e.g., 'If 5 items cost $3.75 and all items are the same price, then I can find the cost of 12 items by first dividing $3.75 by 5 to find out how much one item costs and then multiplying the cost of a single item by 12'). By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative sizes of quantities, students extend whole number multiplication and division to ratios and rates. Thus, they expand the repertoire of problems that they can solve by using multiplication and division, and they build on their understanding of fractions to understand ratios. Students solve a wide variety of problems involving ratios and rates.