Geometry calculator

Volume Calculator

Find enclosed volume for containers, parts, solids, and material estimates.

Calculator

Enter dimensions

Select a shape where available, choose units, and read the result as dimensions update.

Geometry

Result

About this calculator

How it works

Volume is the space enclosed by a 3D shape. It is used for capacity, mass, fluid displacement, material quantity, and packaging calculations.

Formulas

Formulas used

Rectangular prism

V = l w h

Cube

V = s^3

Cylinder

V = pi r^2 h

Sphere

V = 4 pi r^3 / 3

Cone or pyramid

V = base area x h / 3

Worked example

Example: cylindrical tank

For a cylinder with radius 0.50 m and height 1.20 m:

Volume

V = pi x 0.50^2 x 1.20 = 0.942 m3

Capacity

0.942 m3 is about 942 liters

Guide

How to use this calculator

  1. Select the shape or section type if a shape menu is shown.
  2. Enter the known dimensions and choose units beside each length input.
  3. Read the highlighted result first, then use the supporting values for related checks.

Reference

What the results mean

Volume

The enclosed space inside the selected solid.

Capacity

The same volume expressed as liters where useful.

Assumptions and limits

Before using the result

  • Inputs are treated as ideal geometric dimensions with no tolerance, chamfer, fillet, draft, roughness, or manufacturing allowance.
  • Section properties are centroidal for the listed standard shapes and do not include rotation, offsets, or parallel-axis corrections.
  • Use project drawings, tolerances, material data, and applicable design standards for final engineering work.

FAQ

Volume Calculator questions

Can I use different units?

Yes. Select the unit beside each input. The calculator converts dimensions internally before solving.

Are these geometry results suitable for final design?

Use the results for education, screening, drafting, and early design checks. Confirm final values against project requirements, tolerances, and applicable standards.

Why do dimensions need to use the same base units?

Geometry formulas require consistent dimensions. The calculator converts entered lengths to meters before calculating area, volume, or section properties.

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