iCoachMath
STEM Excellence Series: Empowering the Next Generation
HEXAHEDRON
Hexahedron
Definition Of Hexahedron
Hexahedron is a polyhedron with 6-faces.
More About Histogram
Cube is a regular hexahedron.
Examples of Hexahedron
Video Examples: Hexahedron
Solved Example on Hexahedron
Ques: Choose the net that can be folded to form a hexahedron.
Choices:
A. Figure 2
B. Figure 1
C. Figure 4
D. Figure 3
Correct Answer: A
Solution:
Step 1: Hexahedron is a solid with 6-faces.
Step 2: The net formed by unfolding a hexahedron is shown here.
Step 3: So, Figure 2 can be folded to form a hexahedron.
Quick Summary
- A hexahedron has 6 faces.
- A cube is a regular hexahedron.
- Nets can be folded to form a hexahedron.
\[ N/A (basic shape, no defining equation) \]
⚠️ Common Mistakes
- Confusing hexahedrons with other polyhedra.
- Incorrectly identifying nets that can form a hexahedron.
🌍 Real-World Uses
- Dice: Standard six-sided dice are hexahedrons used in games of chance.
- Buildings: Many buildings are designed as hexahedrons (cuboids) for efficient use of space.
- Boxes: Packaging boxes are commonly hexahedrons to protect and contain products.
📋 Standards Alignment
CCSS.MATH.CONTENT.6.G.A.4CCSS.MATH.CONTENT.7.G.A.3
🔗 Related Links
🍎 Teacher Insights
Use physical models or nets to demonstrate how a hexahedron is formed. Emphasize the difference between regular and irregular hexahedrons.🎓 Prerequisites
- Basic Geometry
- Understanding of Polygons
- Spatial Reasoning
Check Your Knowledge
Q1: Which of the following is a hexahedron?
Q2: A cube is a type of what?
Q3: How many faces does a hexahedron have?
Frequently Asked Questions
Q: Is a cube the only type of hexahedron?
A: No, a cube is a regular hexahedron, but there are irregular hexahedrons as well.
Q: How many vertices and edges does a hexahedron have?
A: A hexahedron has at least 6 vertices and 9 edges, but the exact count depends on the shape.