NET
Definition Of Nine Point Circle
Net is a two-dimensional pattern of a three-dimensional figure that can be folded to form the figure.
In other words, net is a flattened three-dimensional figure which can be turned into the solid by folding it.
Examples of Net
The following is the net of a pentagonal pyramid.
The following is the net of a rectangular prism.
Video Examples: Geometry Nets
Solved Example on Net
Ques: Which of the nets can be folded to form a cube?
Choices:
A. Net (c)
B. Net (b) and Net (c)
C. Net (b), Net (c), and Net (d)
D. Net (b)
Correct Answer: D
Solution:
Step 1: A cube does not have a rectangular base or face. So, net (a) does not form a cube.
Step 2: A cube has only 6 squares in it. Nets (c) and (d) have 7 squares. So, they do not form a cube.
Step 3: If you fold net (b) with square 1 as the base, you get a cube. So, net (b) folds to give a cube.
Quick Summary
- A net is a flattened version of a 3D shape.
- Folding a net along its edges creates the 3D shape.
- Different 3D shapes have different possible nets.
🍎 Teacher Insights
Use physical manipulatives (nets printed on paper or cardstock) to allow students to physically fold the nets into 3D shapes. Provide various examples and non-examples of nets. Encourage students to draw their own nets for different 3D shapes.🎓 Prerequisites
- Basic shapes (squares, rectangles, triangles, pentagons)
- Understanding of 3D figures (cube, prism, pyramid)
- Spatial reasoning
Check Your Knowledge
Q1: Which of the following nets can be folded to form a cube?
Q2: A triangular prism has how many rectangular faces?
Frequently Asked Questions
Q: Can a shape have more than one net?
A: Yes, many 3D shapes can be formed from different net arrangements.
Q: Is every arrangement of connected polygons a net?
A: No, the arrangement must be able to fold into a closed 3D shape without overlaps or gaps.