Math

Pyramid Volume Calculator

Volume and surface area of a pyramid.

Enter your values

ⓘ Live results

Results
Volume
400
Base area
100
Lateral surface area
260
Total surface area
360
Slant height (along width)
13

Quick answer

A pyramid's volume is one third of the base area times the perpendicular height.

V = (1/3) × base area × height

How to use the Pyramid Volume Calculator

  1. 1Enter the base length and width.
  2. 2Enter the vertical height to the apex.
  3. 3Read volume and surface areas.

Worked example

Using the values the calculator loads with:

Inputs

  • Base length10
  • Base width10
  • Height12

Results

  • Volume400
  • Base area100
  • Lateral surface area260
  • Total surface area360
  • Slant height (along width)13

Frequently asked questions

Does this work for a square pyramid?

Yes — enter the same value for length and width.

Is height the same as slant height?

No, height is perpendicular from the base to the apex.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.