Pyramid Size Calculator
Enter the base side, a second base side if the base is a rectangle, and the height. The calculator gives the slant height, the corner edge length, the face angle, the edge angle, the angle at the top of each face, the volume and the surface area.
- Slant height
- Face angle
- Volume
Leave the second side at 0 for a square base.
The slant height runs up the middle of each face. It is the hypotenuse of the height and half the base. A square pyramid 230 m across and 146.6 m high has a slant height of about 186 m and faces sloping at about 52°, close to the largest ancient pyramid at Giza.
Pyramid proportions chart
Square pyramids with a base of 100. Search for a height.
| Height | Slant height | Face angle | Volume |
|---|---|---|---|
| 25 | 55.9 | 26.6 | 83333 |
| 40 | 64 | 38.7 | 133333 |
| 50 | 70.7 | 45 | 166667 |
| 63.7 | 81 | 51.9 | 212333 |
| 75 | 90.1 | 56.3 | 250000 |
| 100 | 111.8 | 63.4 | 333333 |
| 150 | 158.1 | 71.6 | 500000 |
Angles in degrees.
Height and slope
230 m square base. Slide the height.
The pyramid is drawn with its base and height.
How to work out pyramid sizes
From base and height. Step through it.
Base
Side a.
For a model, each face is a triangle with the base side and the slant height.
Square, rectangular or triangular base
Pyramid types. Compare them.
Classic.
Long.
Tetrahedron.
A triangular pyramid with four equal faces is called a regular tetrahedron.
Before you build
Pyramid checks. Tick each item.
Tick each item as you go.
For a roof or model, cut faces slightly oversize and trim to fit.
What you get
Pyramid geometry. Each tile explains one result.
Height.
Corner to top.
Face, edge, apex.
Cubic units.
Surface.
A pyramid holds exactly one third of the box that fits round it.
Frequently Asked Questions
No question matches that search.
How do I find the slant height of a pyramid?
Use the right-angle rule with the height and half the base: the square root of height squared plus half the base squared.
What is the volume of a pyramid?
The base area times the height, divided by three.
What angle are the faces of the Great Pyramid?
About fifty-two degrees.
What is the lateral edge of a pyramid?
The edge from a base corner up to the top.
How do I find the surface area?
Add the base area to the area of the four triangular faces.
What is the difference between slant height and edge?
The slant height runs up the middle of a face. The edge runs up a corner and is longer.
Can the base be a rectangle?
Yes. Enter both base sides to get each pair of faces.
Every measure of a pyramid
From two measurements you get every length, angle, volume and area, whether for a model, a roof or a maths problem.
More size calculators
Each one has its own calculator, worked examples and answers to common questions.