Pyramid Calculator
Volume and surface area, with both slant heights.
Volume and surface area, with both slant heights. Volume is a third of the base area times the height — the same one third that governs a cone.
Vertical, apex to base centre.
Volume (units³)
48
Surface area 96 units²
Volume is a third of the base area times the height — the same one-third that governs a cone, and for the same reason. With a square base all four triangular faces are identical. The pyramid holds a third of the prism around it: 48 against 144.
How the Pyramid Calculator works
Volume is a third of the base area times the height — the same one third that governs a cone. On a rectangular base the four triangular faces come in two different pairs, because the sides over the length and over the width lean at different angles, so there are two slant heights rather than one.
Also known as: volume of a pyramid · pyramid surface area · square pyramid calculator · pyramid volume formula
Where to go next
The Pyramid question rarely arrives on its own. These are the ones that usually come with it:
- Cone Calculator — Volume by vertical height, surface area by slant height.
- Volume Calculator — Six shapes, with the litre conversion built in.
- Rectangular Prism Calculator — Box volume, surface area and the diagonal that decides what fits.
- Percentage Calculator — Every common percentage question in one place.
Frequently asked questions
How do I find the volume of a pyramid?
One third of the base area times the vertical height. A 6 by 6 base with a height of 4 gives 48 cubic units.
Why are there two slant heights?
Because a rectangular base is not square. The faces rising over the length lean at a different angle from those rising over the width, so each pair has its own slant height. On a square base the two coincide.
What is the surface area?
The base plus the four triangular faces. Each pair of faces uses its own slant height, which is why this page computes both.
Is a pyramid a third of its box?
Yes — exactly, in the same way a cone is a third of its cylinder. A 2 by 3 by 4 box holds 24; the pyramid inside it holds 8.
Put this calculator on your own site
Free to use, on any site, commercial or not. Paste this where you want it to appear. It is a plain iframe, so it works in WordPress, Squarespace, Wix, Webflow, Ghost and anything else that accepts HTML.
<iframe src="https://www.thecalclibrary.com/embed/pyramid-calculator" width="100%" height="640" style="border:1px solid #e2e8f0;border-radius:12px" loading="lazy" title="Pyramid Calculator"></iframe>
<p style="font:13px/1.5 system-ui,sans-serif;margin:6px 0 0;color:#64748b">Powered by <a href="https://www.thecalclibrary.com/pyramid-calculator" style="color:#64748b">Pyramid Calculator</a> from The Calc Library</p>The only condition is that the credit line below the frame stays in place. That one line is what pays for the tool being free — it is how anyone else finds it.
Related calculators
Cone Calculator
Volume by vertical height, surface area by slant height.
OpenVolume Calculator
Six shapes, with the litre conversion built in.
OpenRectangular Prism Calculator
Box volume, surface area and the diagonal that decides what fits.
OpenPercentage Calculator
Every common percentage question in one place.
Open