Nets of 3-Dimensional Figures
Concept
Shapes are either two-dimensional or three-dimensional. A shape that has a length and a width is called a two-dimensional shape (also known as 2-D shape) and a shape that has a length, a width and a height is called a three-dimensional shape (also known as 3-D shape).
A solid shape is a 3-D shape that has 3 dimensions, which are length, width and height (depth).
The net of a solid shape represents its unfolded form. In other words, when the surface of a three-dimensional shape is unfolded and laid out, we can observe each face as a two-dimensional shape. This pattern that we get is called a net.
Rules
To identify a net of a 3D shape, look at all the faces. Imagine what would it look like if all its sides were folded out flat.
Example
Which net belongs to a rectangular prism?
Solution
A rectangular prism has 6 faces. Each face is a rectangle. The third net belongs to a rectangular prism.
Practice Nets of 3-Dimensional Figures
Practice Problem 1
Which shape can be made from this net?
Practice Problem 2
Choose the correct net for cone.
Practice Problem 3
Choose the correct net for the shape that has:
5 faces, 6 vertices and 9 edges
Net – a 2D picture of what the 3D shape would look like if all its sides were folded out flat.
2D shapes – shapes with two dimensions, such as width and height.
3D shapes – solid figures or objects or shapes that have three dimensions – length, width and height.