Solid Geometry Calculator

Calculate volume and total surface area for a cube, cuboid, sphere, cylinder, right circular cone or square pyramid.

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How this works

The tool runs in this browser. Your file or text is not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.

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Calculate result controls

Showing an example. Edit to see your own.

Cube edge, cuboid length, or square-pyramid base edge. Ignored for round shapes.

Used only for a cuboid.

Enter vertical height, not slant height. A right cone or square pyramid has its apex directly above the base centre.

Used for a sphere, cylinder or cone. Enter half the diameter.

This labels the answer. It does not convert dimensions between units.

Processed in your browser. Your inputs stay on this device.

How to use Solid Geometry Calculator

  1. Choose the solid and a measurement-unit label.
  2. Enter its required positive dimensions in the same unit.
  3. Review volume, total surface area and the formulas.

Example: Solid Geometry Calculator

Solid Geometry Calculator: Cube: volume 27 cubic units; total surface area 54 square units.

You add
Solid shape: cube Edge or length: 3 Width: 4 Perpendicular height: 5 Radius: 2 Unit for every dimension: units
You get
Cube: volume 27 cubic units; total surface area 54 square units. Shape: Cube Edge: 3 units Volume: 27 cubic units Total surface area: 54 square units Volume formula: s³ Total surface area formula: 6s² Total surface area includes all faces and bases. Values are rounded to 12 significant digits. Shape | Cube Edge | 3 units Volume | 27 cubic units

Options

Required dimensions
Choose the solid before entering dimensions. Cone and pyramid height is perpendicular height, not the slant length.
Common unit label
The unit labels the result and does not convert any dimension. Convert measurements into one unit first.

Supported inputs and limits

Dimensions from 10^-100 through 10^9 in one common unit. Closed solids with total surface area, including bases. Cones are right circular; square pyramids have their apex above the centre of the base and use perpendicular height. The unit choice labels results and does not convert inputs. Floating-point geometry is approximate; under-normal area or volume is refused rather than displaying an inaccurate result.

Where your input is processed

This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.

Closed-solid area includes the bases

A cylinder includes both circular ends, while a cone includes its circular base. An open container needs a different area calculation. Right cone and centered square-pyramid assumptions matter; an off-center apex or irregular shape cannot be represented simply by entering its height.

Questions about Solid Geometry Calculator

Does total surface area include the bases?

Yes. Cylinder, cone and pyramid results include their base surfaces. They are closed-solid calculations.

Which height should I enter for a pyramid or cone?

Enter the perpendicular height. The pyramid must have its apex above the base centre. Slant length is calculated from height and base dimensions.

Does choosing a different unit convert my numbers?

No. It changes the unit label only. Enter every dimension in the same unit before calculating.

Project manager: Tony Hines · Content updated 4 October 2026 · Report a problem