Activity Description
In this engaging activity, students will calculate the surface area of various structures, including tents and gazebos by looking at the dimensions provided in the image. The problem statements are:
- You are planning to create a camping tent, and the initial step is to determine the total fabric needed. To accomplish this, your task is to calculate the surface area of the camping tent, which consists of triangles and rectangles. All the necessary dimensions can be found in the picture provided below.
- Imagine you're planning to add a beautiful gazebo to your garden, and your next step is to design its roof. The roof's net structure comprises a rectangle and four identical right triangles. Your task is to assemble this net to create the roof for the gazebo and then calculate the surface area of the roof.
This hands-on exercise not only reinforces the fundamental principles of geometry but also equips students with practical problem-solving skills, allowing them to navigate the complexities of real-world objects.
Learning Objective
Develop a deep understanding of calculating the surface area of 3D objects. Specifically, students will learn to apply geometry concepts and formulas to find the surface area of complex structures, such as tents and gazebos, by using the provided dimensions.
Teacher Tips
Included with the activity, you can view the tips to clarify student's doubts or to evaluate answers (for a teacher scored worksheet).
Common Core: MATH
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.