3D Shape Volume & Surface Area Calculator
Please enter valid positive dimensions.
Volume and Surface Area Formulas for Common 3D Shapes
Whether you're a student working on geometry homework, an engineer estimating material quantities, or someone planning construction work, this 3D volume calculator covers the most common shapes with instant results.
Shape Reference
- Cube: All 6 faces are equal squares. V = a³
- Rectangular Prism: A box with length, width, and height. V = l×w×h
- Sphere: A perfectly round 3D ball. V = ⁴⁄₃πr³
- Cylinder: Circular cross-section with a height. V = πr²h
- Cone: Circular base tapering to a point. V = ⅓πr²h
- Square Pyramid: Square base with four triangular sides. V = ⅓a²h
- Torus: Doughnut shape defined by two radii. V = 2π²Rr²
Frequently Asked Questions
What is the difference between volume and surface area?
Volume measures the 3D space a shape occupies (in cubic units). Surface area measures the total area of all outer faces (in square units). Volume is used for capacity; surface area for material quantity.
What units does this calculator use?
The calculator is unit-agnostic. If you enter dimensions in centimetres, the volume is in cm³ and surface area in cm². Use metres for m³ and m², and so on.
How do I convert cm³ to litres?
1 litre = 1000 cm³. So divide your cm³ result by 1000 to get litres.
What is a torus?
A torus is the mathematical name for a doughnut shape — a surface of revolution generated by revolving a circle about an axis. It is defined by a major radius R (from the centre of the torus to the centre of the tube) and a minor radius r (the radius of the tube).