4Three-Dimensional Geometry
Objectives: This chapter
- Describes three-dimensional (3D) geometric figures.
- Explains the nets of three-dimensional figures.
- Defines the surface area and volume of three-dimensional shapes.
- Solve different levels of problems related to volume and surface areas of 3D shapes.
4.1 Introduction
Geometry is the branch of mathematics that measures two-dimensional and three-dimensional shapes or figures. The previous topic of Chapter 3 was two-dimensional shapes; here, we will learn rules and methods to measure the volume and surface of any three-directional shape.
The only difference between 2-dimensional and three-dimensional shapes is the third dimension which is Depth/height along with length and width. Any two-dimensional shape has length and width, whereas a three-dimensional solid shape also has depth, length, and breadth.
4.2 Nets of Three-Dimensional Shapes
Observe the below figure. If you look at it carefully, you can identify that this shape can make a three-dimensional shape called a cylinder. It is also known as a net of three-dimensional shape. (As an activity, draw this shape on a piece of paper and cut by its edges, try folding it to make a three-dimensional shape).
This net of the cylinder has two circles (top and bottom and a rectangle ...
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