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Volume Calculator: Cube, Box, Cylinder, Sphere and Cone

This free volume calculator finds the volume, and the surface area where it applies, of a cube, rectangular box, cylinder, sphere, cone or square pyramid.

By Debmedia Technologies LLP · Kolkata, India · Updated

What Is It and When Do You Need It?

Volume is how much space a solid takes up. You need it for tanks, boxes, concrete, soil, aquariums and school problems. Surface area, which is also shown, tells you how much paint or wrapping you need.

Pick a shape, type the sizes and the tool gives volume and surface area.

How to Use This Tool

  1. Choose the shape.
  2. Type the sizes a, b and c as described in the shape name.
  3. Press Calculate.
  4. Read volume and surface area, and the litre equivalent if you used centimetres.

How the Calculation Works

Cube: a³. Box: a × b × c. Cylinder: π r² h. Sphere: ⁴⁄₃ π r³. Cone: ⅓ π r² h. Square pyramid: ⅓ a² h. Surface areas: cube 6a², box 2(ab + bc + ac), cylinder 2πr(r + h), sphere 4πr², cone πr(r + slant height), pyramid a² + 2a × slant height.

Worked Example

A box 50 cm × 30 cm × 20 cm has volume 30,000 cm³, which is 30 litres, and surface area 6,200 cm². A sphere with radius 10 has volume 4,188.79 and surface area 1,256.64.

Common Uses

  • Water tanks and aquariums.
  • Concrete and soil estimates.
  • Packaging and shipping.
  • Science and maths homework.

Tips and Common Mistakes

  • Use the same unit for every size.
  • Pyramid height is straight up, not along the slope.
  • For a hollow tube, subtract the inner cylinder from the outer one.

Next, you may need the area calculator, Pythagorean theorem calculator, exponent and root calculator, triangle calculator.

Everything runs in your browser. Nothing you type is uploaded, stored or sent to any outside service.

Frequently Asked Questions

Cubic units of whatever you enter. Centimetres give cubic centimetres. One cubic decimetre equals one litre.
π × r² × h. A can with radius 4 cm and height 10 cm holds about 502.65 cubic centimetres.
A cone with the same base and height as a cylinder holds exactly one third as much, so its volume is ⅓ π r² h.
Work in decimetres, or divide cubic centimetres by 1,000. For example 2,000 cm³ is 2 litres.

Disclaimer: results are calculated in your browser from the numbers you enter. Check important results before you rely on them for money, health, safety or legal decisions.