Square Pyramid Volume Calculator

Square pyramid volume calculator: volume from the base edge and height, or the missing dimension.

V = ⅓ · a² · h

How to use this calculator

  1. Choose the quantity you want under “Solve for”.
  2. Type the known values and pick their units: any combination works.
  3. The result updates as you type. Open “Show the steps” to see the substitution.

V = ⅓ a² h, one third of the box with the same base and height.

Formula

V = ⅓ · a² · h

SymbolQuantityUnits
aBase edgem, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly
hHeightm, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly
VVolumeL, mL, µL, m³, dm³, cm³, gal, gal (UK), qt, pt, cup, fl oz, ft³, in³

Worked example

Given: a = 10 cm · h = 15 cm

V = ⅓ a² h

Result: V = 500 cm³

Frequently asked questions

Volume with a 10 cm base edge and 15 cm height?

⅓ × 100 × 15 = 500 cm³.

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