Pyramid Calculator
Enter the square base edge and height of a pyramid to find its volume, slant height and surface area.
units
units
8.544
138.528
Formula
Examples
| Input | Result |
|---|---|
| base = 6, height = 8 | Volume = 96, Slant ≈ 8.5440, Surface ≈ 138.5280 |
About this calculator
A square pyramid has a square base and four triangular faces meeting at a single apex above the base center. Like a cone, its volume is one third of the prism with the same base and height, giving 1⁄3 × b² × h.
The slant height is the distance from the apex down the middle of a triangular face to the base edge, found from the half-base and the vertical height by the Pythagorean theorem. The total surface area adds the square base (b²) to the four triangular faces (2 × b × slant).
Frequently asked questions
Use Volume = 1⁄3 × base² × height. A base edge of 6 and height of 8 gives a volume of 96 cubic units.
It is the distance from the apex to the midpoint of a base edge, equal to √((b⁄2)² + h²). It differs from the vertical height, which goes straight down to the base center.
Yes. The total surface area here is the square base (b²) plus the four triangular sides (2 × b × slant height).
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