Pyramid Volume Calculator
V = (1/3) × base area × height. For square / rectangular / triangular bases.
Result
Volume
96.0000
(1/3) × base × height = 96.0000.
- Base shapesquare
- Side a6
- Side b— (uses a)
- Height8
- Base area36.000000
- Volume96.000000
Step-by-step
- Base area = a² = 6² = 36.0000.
- V = (1/3) × base × height = (1/3) × 36.0000 × 8 = 96.0000.
How to use this calculator
- Pick base shape.
- Enter base dimensions and pyramid height (perpendicular).
- Read volume.
About this calculator
A pyramid has a polygonal base and triangular faces meeting at an apex. Volume = (1/3) × base area × height. The (1/3) factor is the same as for cones (Cavalieri's principle). Examples: square base = traditional Egyptian pyramid; triangular base = tetrahedron variant. The Great Pyramid of Giza has ~230 m sides × 147 m height → ~2.6 million m³.
Frequently asked
Same reason as cones: a pyramid on the same base and height has 1/3 the volume of the corresponding prism. Geometric proof via Cavalieri.
Related calculators
Cone Volume Calculator
V = (1/3)πr²h. One-third of the cylinder of same base and height.
Cube Volume Calculator
V = s³. Six equal square faces.
Rectangular Prism Volume
V = l × w × h. Box / cuboid volume.
Cylinder Volume Calculator
V = πr²h. Surface area = 2πr² + 2πrh (top + bottom + side).
Sphere Volume Calculator
V = (4/3)πr³. Surface area = 4πr².
Triangle Perimeter Calculator
P = a + b + c. Sum of all three sides.