HEXAGONAL PYRAMID
Definition Of Hexagonal Pyramid
A pyramid with a hexagonal base is called to be a Hexagonal Pyramid.
More About Hexagonal Pyramid
A hexagonal pyramid has six triangular lateral faces and a hexagonal base.
Hexagonal pyramid is also called as Heptahedron.
Surface Area (SA) of a regular hexagonal pyramid is given by SA = 3as+ 3sl, where a is the apothem length of the hexagon, s is the side length of the hexagon, and l is the slant height.
Volume (V) of a regular hexagonal pyramid is given by V = 
h, where s is the side length of the hexagon and h is its
Video Examples: Hexagonal Pyramid
Example of Hexagonal Pyramid
There is one hexagonal base and 6 triangular faces for the figure shown. Therefore, it is a hexagonal pyramid.
Solved Example on Hexagonal Pyramid
Ques: How many edges does a hexagonal pyramid have?
Choices:
A. 12
B. 6
C. 8
D. 10
Correct Answer: A
Solution:
Step 1: There are 12 edges that are formed by joining 7 vertices in the hexagonal pyramid.
Step 2: So, the hexagonal pyramid has 12 edges.
Quick Summary
- A hexagonal pyramid has six triangular lateral faces and a hexagonal base.
- It is also called a Heptahedron.
- Surface Area (SA) of a regular hexagonal pyramid is given by SA = 3as+ 3sl, where a is the apothem length of the hexagon, s is the side length of the hexagon, and l is the slant height.
- Volume (V) of a regular hexagonal pyramid is given by V = (3√3 / 2) * s^2 * h / 3, where s is the side length of the hexagon and h is its height.
🍎 Teacher Insights
Use physical models or 3D software to help students visualize the hexagonal pyramid. Emphasize the difference between slant height and height when calculating surface area and volume.🎓 Prerequisites
- Basic Geometry
- Properties of Hexagons
- Pyramids
- Area and Volume Formulas
Check Your Knowledge
Q1: How many edges does a hexagonal pyramid have?
Q2: A hexagonal pyramid has a base side length of 4cm and a height of 6cm. What is its volume?
Frequently Asked Questions
Q: How many faces does a hexagonal pyramid have?
A: A hexagonal pyramid has 7 faces: 1 hexagonal base and 6 triangular lateral faces.
Q: How many edges does a hexagonal pyramid have?
A: A hexagonal pyramid has 12 edges.
Q: What is the difference between a hexagonal prism and a hexagonal pyramid?
A: A hexagonal prism has two hexagonal bases and rectangular lateral faces, while a hexagonal pyramid has one hexagonal base and triangular lateral faces converging to a single vertex.