Square Pyramid Volume Calculator

What Is a Square Pyramid Volume?

A right square pyramid has a square base and four triangular faces meeting at the apex. Its volume is one-third of the base area times the perpendicular height.

See also: Pyramid Calculator and Volume Calculator.

Volume Formula

$$V = \frac{a^2 \times H}{3}$$

where $a$ is the base edge and $H$ is the pyramid height (perpendicular from base to apex).

Other Dimension Relationships

Slant height: $s^2 = H^2 + (a/2)^2$

Lateral edge: $d^2 = H^2 + a^2/2$

Worked Example

A pyramid with base edge 6 in and height 10 in has volume $V = 6^2 \times 10 / 3 = 120$ cubic inches.

Frequently Asked Questions

How do I find volume with only slant height and base edge?

First find height: H = √(s² − (a/2)²). Then use V = a²H / 3.

What is the difference between slant height and lateral edge?

Slant height runs from the midpoint of a base side to the apex. Lateral edge runs from a base corner to the apex.

Can I use any two pyramid dimensions?

Yes, if the pair is consistent. Our calculator supports six common pairs and derives the missing values automatically.

What is the volume of the Great Pyramid of Giza?

With base edge about 230.6 m and height 146.7 m, the volume is roughly 2.6 million cubic meters.

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What Is a Square Pyramid Volume?

Volume Formula

Other Dimension Relationships

Worked Example

Frequently Asked Questions

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