Pyramid Calculator
Calculate volume, surface area, and other properties of any pyramid instantly
What is a Pyramid?
A pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a common point called the apex. The shape of the base determines the type of pyramid (triangular, square, hexagonal, etc.). Pyramids are iconic structures found in ancient architecture and modern designs.
Pyramid Types - Calculators
Select a pyramid type to access its dedicated calculator with shape-specific formulas and features:
Triangular Pyramid
A pyramid with a triangular base (Tetrahedron).
Square Pyramid
A pyramid with a square base.
Rectangular Pyramid
A pyramid with a rectangular base.
Pentagonal Pyramid
A pyramid with a pentagonal base.
Hexagonal Pyramid
A pyramid with a hexagonal base.
Key Properties of All Pyramids
- Base Area (B) - Area of the base polygon
- Height (h) - Perpendicular distance from base to apex
- Slant Height (l) - Height of triangular faces
- Volume (V) - Space contained within the pyramid (V = ⅓ × B × h)
- Lateral Area (L) - Area of the triangular faces
- Surface Area (S) - Total area including base (S = L + B)
Universal Pyramid Formulas
- Volume: V = ⅓ × B × h
- Lateral Area: L = ½ × P × l
- Surface Area: S = L + B = ½ × P × l + B
Where B is base area, h is height, P is base perimeter, and l is slant height.
Why Use Our Pyramid Calculator?
Features Across All Pyramid Calculators
- Multiple Calculation Methods - Calculate using different known values
- Detailed Results - Get all properties including volume, surface area, and more
- Interactive Diagrams - Visualize the pyramid with labeled dimensions
- Step-by-Step Examples - Learn how to solve pyramid problems
- Mobile Friendly - Works on all devices
Common Pyramid Applications
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Architecture & Construction
Designing pyramid-shaped structures and calculating materials
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Packaging Design
Creating pyramid-shaped containers and calculating their capacity
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Education
Teaching geometric concepts with practical examples
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3D Modeling
Creating pyramid shapes in computer graphics and CAD software
Frequently Asked Questions
A pyramid has one base and triangular faces meeting at an apex, while a prism has two identical parallel bases connected by rectangular faces.
While similar in having a base and apex, a cone has a circular base and curved surface, while pyramids have polygonal bases and flat triangular faces.
For regular pyramids, slant height can be calculated using the Pythagorean theorem:
l = √(h² + (a/2)²)
Where h is pyramid height and a is base side length.
No, by definition a pyramid has a single apex where all triangular faces meet.