Regular hexagonal pyramid calculator
Regular Hexagonal Pyramid Calculator: Volume and Surface Area
What is a Regular Hexagonal Pyramid?
A regular hexagonal pyramid is a form of a pyramid that has a polygonal base and lateral triangular sides. Its lateral faces are composed of six triangles and its base is a hexagon.
Key Features of a Regular Hexagonal Pyramid
- The Base: Equilateral Regular Hexagon with 6 sides
- The Faces: 6 Triangular Faces that meet at the top point
- Height (h): Length from apex to center of hexagon base measured perpendicularly.
- Slant Height (l): Height of side triangular faces measured diagonally
The Volume and Surface Area of a Regular Hexagonal Pyramid
1. Volume of a Regular Hexagonal Pyramid
The volume formula V for a regular hexagonal pyramid is given below as:
V = (1/3) × A_b × h
Where:
- A_b = Area of the hexagonal base
- h = Height of the pyramid
Volume is obtained by the formula: V = (1/3) × A_b × h. In order to calculate the volume, you must find the area of the hexagonal base (A_b). Use:
A_b = (3/2) × s² where s = Side length of the hexagon.
2. Surface Area of a Regular Hexagonal Pyramid
The surface area A of a regular hexagonal pyramid is the sum of the area of its hexagonal base and the area covered by the six equilateral triangular faces:
A = A_b + A_f
Where:
- A_b = Area of the hexagonal base
- A_f = Area of the six triangular faces
The area of one triangular face is given as:
A_f = (1/2) × s × l
The total lateral surface area is:
A = A_b + 3 × s × l
How to Use Regular Hexagonal Pyramid Calculator from Calculator3.com?
Using Regular Hexagonal Pyramid Calculator is very easy and quick:
- Enter the side of the hexagonal base.
- Input the height of the pyramid.
- If you have the slant height, you can enter it.
- Click “Calculate” and get volume and surface area instantly.
✅ Get accurate and instant results for your geometry problems!
Benefits of Using Regular Hexagonal Pyramid Calculator
- ✔ Saves time and gives precision as calculations for volume and surface area are done instantly.
- ✔ Comes with Better User Experience – Easy-to-use input boxes.
- ✔ Excellent for Learners and Instructors – Ideal for solving geometry problems.
- ✔ Helpful for Engineers and Designers – Excellent for 3D model building and structure calculations.
- ✔ No Cost and Online – Accessible any time at Calculator3.com.
Commonly Asked Questions (CQs)
1. How would you define a regular hexagonal pyramid?
A regular hexagonal pyramid is a 3D geometric figure having a hexagon-shaped base and a singular vertex above it with 6 triangular faces.
2. How do I determine the volume of a hexagonal pyramid?
The volume of a regular hexagonal pyramid is expressed by the formula:
V = (1/3) × A_b × h
3. What is the formula to calculate the surface area of a regular hexagonal pyramid?
The surface area is calculated by finding the total area of the hexagonal base and summing it up with the total lateral area of the six triangular faces:
A = A_b + 3 × s × l
4. What if I do not know the slant height?
If the slant height is not known, it can be calculated using the Pythagorean theorem:
l = √(h² + (2s × √3)²)
5. Is the Regular Hexagonal Pyramid Calculator free?
Absolutely! The Regular Hexagonal Pyramid Calculator at Calculator3.com is completely free and requires no registration.
Final Thoughts
The Regular Hexagonal Pyramid Calculator from Calculator3.com is a game changer for students, teachers, engineers, and designers. Whether you’re solving school problems or working on a 3D design project, this calculator makes calculations easy.
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