Pyramid Calculator

Volume

Surface Area

Slant Height

Pyramid Volume and Surface Area

V = (1/3)*base area*height for any base shape. Square: base=s^2. Equilateral triangle: base=(sqrt(3)/4)*s^2.

Slant height = distance from apex to midpoint of base edge. For square: sqrt(h^2+(s/2)^2).

The Great Pyramid has 230.4m base and 146.5m height, volume about 2.6 million cubic meters.

Frequently Asked Questions

Pyramid volume?

V = (1/3)*base area*height. Works for any base shape. One-third of equivalent prism.

Slant height?

sqrt(height^2 + apothem^2). Apothem = distance from center to midpoint of base side.

Surface area?

Total = base area + lateral area. Lateral = (1/2)*perimeter*slant height for regular pyramids.

Is tetrahedron a pyramid?

Yes, with triangular base. Regular tetrahedron has all equilateral triangle faces.

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