Pyramid Calculator

Compute volume and surface area for a square-based pyramid. Enter the base edge length and the height, and the calculator returns volume, slant height, base area, lateral surface area and total surface area.

Enter dimensions

Enter base edge and height, then press Calculate.

Square pyramid formulas

Base area: A_base = s²

Slant height: l = √(h² + (s/2)²)

Lateral surface area: A_lat = 2 · s · l

Total surface area: A_total = s² + 2sl

Volume: V = (1/3) · s² · h

Frequently asked questions

This calculator handles right square pyramids — pyramids with a square base whose apex is directly above the center of the base.

Any pyramid has exactly one-third the volume of a prism with the same base and height. This is true for any shape of base — square, triangular, or general polygon.