ToolBark
Math

Pyramid Volume Calculator

Instant pyramid volume from any base shape and height

Base Type

Dimensions

Result

Volume

83.33333

Formula used

V = ⅓ × 5² × 10 = ⅓ × 25 × 10

Base area: 25 m²

Volume in all units

83.33333
cm³83333330
mm³83333330000
ft³2942.894
in³5085301
yd³108.9959
L83333.33
mL83333330

Formula Reference

All pyramid types share the same core formula:

V = (1/3) × Base Area × Height

  • Square base: A = s²
  • Rectangular base: A = l × w
  • Triangular base: A = ½ × b × h
  • Regular n-gon: A = (n × s²) / (4 × tan(π/n))
  • Known base area: enter directly
About

The pyramid volume calculator computes the volume of any pyramid using the universal formula V = ⅓ × base area × height. Whether your pyramid has a square, rectangular, triangular, or regular polygon base — or you already know the base area — enter your dimensions, choose your unit, and get an instant result with conversions to cubic metres, cubic feet, litres, and more.

FAQ
What is the formula for the volume of a pyramid?+

All pyramids share the same formula: V = (1/3) × Base Area × Height. The base area depends on the shape — for a square base it is s², for a rectangle it is l × w, and for a regular n-sided polygon it is (n × s²) / (4 × tan(π/n)).

Does this work for triangular pyramids (tetrahedrons)?+

Yes. Select the 'Triangular' base type, enter the base length and the perpendicular height of the triangular face, and the tool computes the base area as ½ × b × h before applying the pyramid volume formula.

Can I enter the base area directly if I already know it?+

Absolutely. Choose 'Known Base Area' mode and type the area in the selected length-unit squared. This is useful when the base is an irregular shape and you have calculated the area separately.

How do I convert the result to litres or cubic inches?+

Use the 'Result Unit' dropdown to select any of the eight supported volume units — m³, cm³, mm³, ft³, in³, yd³, litres, or millilitres. The conversion table at the bottom shows all units simultaneously.

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