Volume Calculator
Volume of a cube, cuboid, sphere, cylinder, cone or pyramid.
Quick answer
- Formula: Cube a³ · Cuboid a×b×c · Sphere (4/3)πr³ · Cylinder πr²h · Cone (1/3)πr²h · Pyramid (a×b×h)÷3
- Worked example — Volume: 27.0000 (full example below).
Volume Calculator
| Volume | 27.0000 |
| Solid calculated | cube |
A cube with 3-unit edges holds 3 × 3 × 3 = 27 cubic units — the origin of the phrase 'cubed' for a third power.
Volume measures how much space a three-dimensional solid occupies, in cubic units. Most volume formulas are a base area multiplied by a height — cones and pyramids take exactly one third of their enclosing prism, a fact that surprises many people the first time they test it with sand or water.
Pick a solid and enter its dimensions: A is the side (cube), length (cuboid and pyramid base) or radius (sphere, cylinder and cone); B is the width or the height of the round solids; C is the remaining dimension for the cuboid and pyramid.
The formula
Worked example
A cube with 3-unit edges holds 3 × 3 × 3 = 27 cubic units — the origin of the phrase 'cubed' for a third power.
The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.
Frequently asked questions
Why is a cone exactly one third of a cylinder?
A cone and cylinder with the same base and height always have volumes in the ratio 1:3 — fill a cone with water and it takes exactly three cones to fill the cylinder. Calculus proves it; the experiment is convincing on its own.
How do I convert cubic units to litres?
1 litre is exactly 1,000 cm³ (a cube 10 cm on each side). So calculate the volume in cubic centimetres and divide by 1,000 — a 30 × 20 × 15 cm box is 9,000 cm³ = 9 litres.
Category: Math calculators
Sources & methodology
This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.
Content last reviewed by CalcHub Editorial.
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