How it works
Cross-sections scale linearly from base to apex, integrating to one-third the prism volume.
Formula
V = (1/3) × base area × h = (1/3)s²h for square base
How to use Volume of a Pyramid Calculator
- Enter square base side s and vertical height.
- Calculate volume.
- Compare to rectangular prism with same base footprint and height (pyramid is ⅓ of that).
Worked examples
Concrete numbers and cases you can check against the tool above.
Square base 6 m, height 9 m
V = (1/3)×36×9 = 108 m³.
When to use Volume of a Pyramid Calculator
Pyramids appear in architecture models and volume-of-composite problems. Like cones, they are one-third of a prism with the same base and height.
Common use cases
- Sand or gravel in a square-base pile approximated as pyramid.
- Geometry worksheets on Egyptian pyramid models.
- 3D mesh sanity checks for low-poly pyramids.
Inputs and outputs
- Square base edge and perpendicular height
Privacy
This tool runs entirely in your browser. Your data never leaves your device — nothing is uploaded to our servers.
Frequently asked questions
- Triangular base pyramid?
- This page assumes square base; triangular-base pyramids need base area = ½bh.
- Height vs slant height?
- Use perpendicular height to the base plane, not edge length along a face.
- Relation to cone?
- Both use ⅓ × base area × height; base shape differs.