Math Example--Area and Perimeter--Surface Area: Example 13

Topic

Surface Area

Description

This example demonstrates the calculation of surface area for a rectangular-based pyramid with dimensions 11, 9, and 15 units. The pyramid is depicted with its net unfolded, showing two triangular faces and a rectangular base. The surface area is calculated using the formula SA = b₁ * h + b₂ * h + l * w, where b₁ and b₂ are the bases of the triangular faces, h is the height of the triangular faces, and l and w are the length and width of the rectangular base. For this specific pyramid, the calculation yields a surface area of 399 square units.

Understanding surface area calculations for three-dimensional shapes with multiple faces is essential in mathematics and its applications. This collection of examples helps teach the topic by introducing different types of pyramids, allowing students to apply surface area principles to more diverse shapes and reinforce their understanding of geometric relationships.

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, especially when dealing with shapes that combine different types of faces.

Teacher's Script: In this example, we're exploring the surface area of a rectangular-based pyramid. Notice how we break down the calculation into the areas of the triangular faces and the rectangular base. As we work through this example, think about how this approach compares to our previous calculations with prisms and cylinders. Understanding these similarities and differences will help you tackle surface area problems for various shapes, including those with multiple types of faces, in the future.

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