Square Pyramid Volume Calculator

For a square pyramid with base edge a and height h:

Calculate the volume of a square pyramid with base edge 8 cm and height 12 cm:

Result: 256 cm³

1. Enter the base edge (for square pyramid) or base area
2. Enter the height
3. Click "Calculate" to see the volume

• Square pyramid: Base is a square
• Triangular pyramid: Base is a triangle (tetrahedron)
• Rectangular pyramid: Base is a rectangle
• Regular pyramid: Base is a regular polygon

The slant height l (distance from apex to midpoint of a base edge) relates to height h and base half-width a/2:

• Architecture and construction
• Engineering design
• Manufacturing
• Packaging design
• Volume estimation

What is the volume of a cone? Similar: $\\frac{1}{3} \\pi r^2 h$, where the base is a circle.

How does pyramid volume compare to a prism? A pyramid has exactly one-third the volume of a prism with the same base and height.

Can I calculate the surface area? Yes: base area + (perimeter × slant height) / 2.

What about frustums? For a truncated pyramid, the volume is $\\frac{h}{3}(A_1 + A_2 + \\sqrt{A_1 A_2})$ where A₁ and A₂ are the base areas.

Is the formula the same for all pyramids? Yes, $\\frac{1}{3} \\times \\text{base area} \\times \\text{height}$ works for any pyramid.