NONAHEDRON
Definition Of Nonahedron
A Nonahedron is a nine-faced polyhedron.
Examples of Nonahedron
All the above figures are the examples of nonahedron.
Video Examples: Math Worksheet - iCoachMath
Solved Example on Nonahedron
Ques: FIdentify the net that when folded forms a Nonahedron.
Choices:
A. Figure 4
B. Figure 3
C. Figure 2
D. Figure 1
Correct Answer: C
Solution:
Step 1: The net in Figure 1 when folded forms a square pyramid as it has one square base and four triangular faces.
Step 2: The net in Figure 2 when folded forms a triangular dipyramid as it forms a nine-faced polyhedron.
Step 3: The net in Figure 3 forms a cube as it has 6 squares.
Step 4: The net in Figure 4 forms a pentagonal pyramid as it has one pentagonal base and five triangular faces.
Step 5: So, the net in Figure 2 when folded forms a Nonahedron.
Quick Summary
- A nonahedron is a 3D shape.
- It has nine faces.
- Nonahedrons can have different shapes of faces (triangles, quadrilaterals, etc.).
🍎 Teacher Insights
Use physical models or 3D visualization tools to help students understand the concept of a nonahedron. Emphasize the difference between a 2D nonagon and a 3D nonahedron.🎓 Prerequisites
- Basic understanding of polygons
- Familiarity with 3D shapes
- Knowledge of faces, edges, and vertices
Check Your Knowledge
Q1: Which of the following is a nonahedron?
Q2: A nonahedron has how many faces?
Frequently Asked Questions
Q: Is there only one type of nonahedron?
A: No, there are many different types of nonahedrons, depending on the shapes and arrangements of their faces.
Q: Can a nonahedron have curved surfaces?
A: By definition, a polyhedron (including a nonahedron) must have flat faces. Shapes with curved surfaces are not polyhedra.