ToolHuts

Practical tools for measured work

Pyramid Volume Calculator

Calculate pyramid volume or solve a missing dimension, with diagrams and metric/imperial outputs.

Calculate the layout, check the diagram, then print the result for the shop or jobsite.

cm
cm
cm
L = 2; W = 3 cmh = 4 cm
Volume8cm³
Litres0.008L
Cubic metres0.000008m³
Cubic feet0.00028251733ft³
Cubic inches0.48818995in³
US liquid gallons0.0021133764US gal
Slant height across width4.2720019cm
Slant height across length4.1231056cm

Schematic diagram, not a cutting template. All dimensions use the selected length unit; changing the unit reinterprets the entered numbers.

How it works

Choose the unknown quantity, enter the remaining measurements and read the result in cubic units, litres or US liquid gallons. Known volume must use the cube of the selected length unit.

Height is perpendicular to the base, not the sloping side. For a triangular pyramid base, length and width are the base triangle's perpendicular base and altitude. For a square base, enter equal length and width.

Slant height assumes a right cone or a pyramid with its apex above the centre of a rectangular base. Use √(h² + r²) for the cone and √(h² + (W/2)²) or √(h² + (L/2)²) for the pyramid faces. A square base of side 6 and height 4 has slant height 5.

Pyramid: V = LWh / 3; triangular base: V = LWh / 6
L = 2, W = 3, h = 4 → V = 8; triangular base → V = 4

Current-input example

The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.

Length unit
cm
Solve for
Volume
Base shape
Rectangular base
Length
2 cm
Width
3 cm
Height
4 cm

Primary result: Volume: 8 cm³.

Before using the result

  • Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
  • Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
  • When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

Limitations

Ideal solid geometry only. For container capacity, enter inside dimensions. Hollow walls, rounded ends, material density and manufacturing tolerances are excluded. Use the tank calculator for partial fill.

Frequently asked questions

Can I find a missing dimension from volume?

Yes. Select the dimension under Solve for and enter a positive known volume and the other required dimensions. Radius results are always radii, even when the known circular measurement uses diameter.

Which gallon is used?

US liquid gallons: one gallon equals exactly 3.785411784 litres. Imperial gallons are different.