Reviewed by CalcMulti Editorial Team·Last updated: ·← Geometry Hub
The volume of any pyramid is one-third of the base area times the height: V = (1/3) × B × h. This works for square, rectangular, triangular, and any other pyramid — the shape of the base only affects how you calculate the base area B. The height h must be perpendicular from the apex to the base.
For a square pyramid with base side s and height h: slant height l = √(h² + (s/2)²). Lateral surface area = 2sl (four triangular faces). Total surface area = s² + 2sl. This calculator handles square and rectangular base pyramids.
V = (1/3) × B × h
| Side (s) | Height (h) | Volume | Slant Height | Total SA |
|---|---|---|---|---|
| 4 | 6 | 32.00 | 6.32 | 66.60 |
| 6 | 9 | 108.00 | 9.49 | 149.84 |
| 8 | 10 | 213.33 | 10.77 | 236.33 |
| 10 | 12 | 400.00 | 13.00 | 360.00 |
| 12 | 15 | 720.00 | 16.16 | 531.73 |
| 15 | 20 | 1500.00 | 21.36 | 865.80 |
V = (1/3)πr²h — volume, slant height, surface area
Rectangular Prism Volume CalculatorV = l×w×h — box volume and surface area
Sphere Volume CalculatorV = (4/3)πr³ — volume and surface area
Surface Area Calculator3D shapes — cube, cylinder, sphere, cone
Cylinder Volume CalculatorV = πr²h — volume and surface area
Triangle Area CalculatorArea of triangular base using Heron's or base-height
This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.