Math

Pyramid Volume Calculator

Volume and surface area of a pyramid.

Enter your values

Enter the base length you are working with.

Enter the base width you are working with.

Enter the height you are working with.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

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

At a glance

What it doesVolume and surface area of a pyramid.
CategoryMath
Inputs neededBase length, Base width, Height
Main outputVolume
FormulaV = (1/3) × base area × height
CostFree — no sign-up, no download

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.

Inputs explained

Base length
Enter the base length you are working with.
Base width
Enter the base width you are working with.
Height
Enter the height you are working with.

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.

What do I need to enter into the Pyramid Volume Calculator?

Just 3 values: base length, base width, height. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Pyramid Volume Calculator work out the answer?

A pyramid's volume is one third of the base area times the perpendicular height. It applies the formula V = (1/3) × base area × height and shows the working so you can check each step by hand.

Is the Pyramid Volume Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

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