Calculator inputs
Formula used
The letter a represents the square base side. The letter l represents slant height. The letter h represents vertical height.
Dimension guide
The vertical height meets the square centre. Slant height meets a side midpoint. Lateral edges connect apex and base corners.
How to use
- Select the calculation mode matching your known measurements.
- Enter only the dimensions required by that mode.
- Choose input and result units before calculating.
- Choose whether material coverage includes the square base.
- Add waste and cost values when needed.
- Use comparison fields to compare another pyramid.
- Review the formulas, steps, and downloadable result summary.
Example data
| Base side | Slant height | Base area | Lateral area | Total area |
|---|---|---|---|---|
| 4 m | 3 m | 16 m² | 24 m² | 40 m² |
| 8 m | 6 m | 64 m² | 96 m² | 160 m² |
| 10 ft | 7 ft | 100 ft² | 140 ft² | 240 ft² |
Calculation history
Recent results stay inside this browser. The history stores eight calculations. Clearing browser data removes saved entries.
Frequently asked questions
What is total surface area?
Total surface area includes every outside face. It combines four triangles and one square. Use it for fully enclosed pyramid coverage.
What is lateral surface area?
Lateral area includes only four triangular faces. It excludes the square base. Use it for open-bottom structures and cladding.
How is slant height different?
Slant height runs along a triangular face. Vertical height runs through the centre. They are related by a right triangle.
Can the calculator find missing dimensions?
Yes, several reverse modes are included. Known area can solve side or slant. Invalid combinations produce clear validation messages.
Why must slant height be sufficient?
A short slant height cannot reach the apex. It must cover half the base width. The calculator checks this geometric requirement.
How does unit conversion work?
Inputs convert internally into metres. Results convert into your chosen unit. Areas and volumes receive squared or cubed units.
How is material waste applied?
Waste increases the selected covered area. Enter any non-negative percentage value. Material cost uses the adjusted coverage amount.
Can I compare two pyramids?
Yes, enter the optional comparison measurements. The calculator compares equivalent coverage areas. It reports absolute and percentage differences.
Can I export my result?
You can copy the merged summary. CSV and PDF downloads are included. Printing creates a clean result-focused page.