📐 Square Pyramid 計算機

A square pyramid is a three-dimensional solid with a square base and four triangular faces that meet at a single apex above the center of the base. It is one of the most familiar pyramid shapes — the Great Pyramids of Giza are square pyramids. This calculator computes the volume, total surface area, slant height, base area, and lateral surface area from just two measurements: the base edge length and the perpendicular height.

Enter the base edge length (a) — the side of the square base — and the height (h), measured straight up from the center of the base to the apex. The calculator instantly returns all key properties. Make sure both values use the same unit (cm, m, in, ft); results will be in those units, squared for areas and cubed for volume.

The volume is one-third of the base area times the height:

For surface area we first need the slant height — the distance from the base edge midpoint to the apex along a triangular face — given by the Pythagorean theorem: Each triangular face has area ((1) ÷ (2)) · a · l, and there are four of them, giving lateral area 2 · a · l. Adding the square base a^2 yields the total surface area

Suppose a = 6 and h = 4. Volume

The slant height Lateral area = 2 · 6 · 5 = 60. Base area = 36. Total surface area = 36 + 60 = 96 square units.