Chapter 6: Three-Dimensional Geometrical Shapes
What you need to learn in this chapter
In this chapter, we will be learning about three-dimensional geometrical shapes. We will start by understanding the geometric properties of these shapes, such as prisms, pyramids, cylinders, cones, and spheres. We will compare, contrast, and classify these shapes based on their properties.
Next, we will explore nets of three-dimensional shapes. We will analyze different nets, including pyramids, prisms, cylinders, and cones. By studying these nets, we will be able to draw them and build models of the shapes.
Finally, we will learn about the surface area and volume of three-dimensional shapes. We will understand how to calculate the surface area and volume of prisms, pyramids, cylinders, cones, and spheres.
By the end of this chapter, we will have a solid understanding of three-dimensional geometrical shapes and their properties.
Topics in this chapter
1. Geometric Properties of Three-Dimensional Shapes
What you will learn in this topic
- Compare, contrast and classify three-dimensional shapes including prisms, pyramids, cylinders, cones and spheres, and hence describe the geometric properties of prisms, pyramids, cylinders, cones and spheres
2. Nets of Three-Dimensional Shapes
What you will learn in this topic
- Analyse various nets including pyramids, prisms, cylinders and cones, and hence draw nets and build models
3. Surface Area of Three-Dimensional Shapes
What you will learn in this topic
- Derive the formulae of the surface areas of cubes, cuboids, pyramids, prisms, cylinders and cones,and hence determine the surface areas of the shapes
- Determine the surface area of spheres using formula.
- Solve problems involving the surface area of three-dimensional shapes
4. Volume of Three-Dimensional Shapes
What you will learn in this topic
- Derive the formulae of the volumes of prisms and cylinders, and hence derive the formulae of pyramids and cones
- Determine the volume of prisms, cylinders, cones, pyramids and spheres using formulae
- Solve problems involving the volume of three-dimensional shapes
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