Math Example--Area and Perimeter--Surface Area: Example 19

Topic

Surface Area

Description

This example demonstrates the calculation of surface area for a cube with a side length of 7 units. The surface area is calculated using the formula SA = 6s², where s is the length of one side of the cube. For this specific cube, the calculation yields a surface area of 294 square units.

Understanding surface area calculations for three-dimensional shapes with equal sides, like cubes, is fundamental in mathematics and its applications. This collection of examples helps teach the topic by introducing different types of solids, allowing students to apply surface area principles to more diverse shapes and reinforce their understanding of geometric relationships, especially those involving regular polyhedra.

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of surface area across different shapes. Each example builds upon previous knowledge while introducing new geometric forms, helping students develop versatility in their problem-solving approach and a deeper understanding of spatial relationships, particularly when dealing with shapes that have equal sides and right angles.

Teacher's Script: In this example, we're exploring the surface area of a cube. Notice how the formula for a cube's surface area relates to the number of faces and the area of each face. As we work through this example, think about why we multiply by 6 and why the side length is squared. Understanding these concepts will help you tackle surface area problems for various regular polyhedra in the future and appreciate the simplicity and elegance of geometric formulas for regular shapes.

For a complete collection of math examples related to Surface Area click on this link: Math Examples: Surface Area Collection.