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Square Pyramid Volume Calculator

Find the volume of a pyramid with a square base in seconds.

V = \frac{1}{3} a^2 h
a = ?
h = ?
Diagram updates instantly as you type.

What is a Square Pyramid?

A pyramid with a square base.

A square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at a common vertex (the apex). The Great Pyramid of Giza is a famous example.

Key Information
Shape Focus
square pyramid volume calculator

How to Find Square Pyramid Volume

The process is simple if you know the base edge and height.

1
Find the length of one side of the square base.
2
Square that length to find the base area.
3
Multiply by the vertical height and divide by 3.

Square Pyramid Volume Formula

The formula specific to square pyramids.

V = \frac{1}{3} a^2 h
V Volume
a Base Edge
h Height

Where 'a' is the length of the base edge and 'h' is the vertical height of the pyramid.

Frequently Asked Questions

How does this differ from a rectangular pyramid?

A square pyramid is a specific type of rectangular pyramid where all four sides of the base are equal.

What is the slant height of a square pyramid?

The slant height is the distance from the midpoint of a base edge to the apex along the triangular face.

Do I need the slant height to find the volume?

No, the volume formula specifically requires the vertical height (altitude). If you only have slant height, you must calculate vertical height first.

Why is the formula divided by 3?

Because a square pyramid takes up exactly one×third of the volume of a cube (or rectangular prism) with the same base and height.