Volume of a Cube Formula
Geometry Formulas: Area, Volume, Perimeter
What is the formula for the volume of a cube?
Answer
Volume of a cube
V = a³
Here a is the side (or base). The result comes out in cubic units.
Where the formula comes from
V = a³
Fill the cube with unit cubes: a along each edge, so a · a · a of them. It is the rectangular prism with all three edges equal.
Worked examples
Let a = 4. Then the volume of a cube = 64 cubic units.
Let a = 2.5. Then the volume of a cube ≈ 15.63 cubic units.
The common mistake
Writing 3a instead of a³. Tripling an edge is not cubing it: for a = 4 the volume is 64, not 12.
Other quantities: Cube
Related Calculations
See Also
- Square Footage Calculator - Width × length in feet to square feet
- Square Feet to Square Meters (Sq Ft to Sq M) - Convert Square Feet to Square Meters
- Square Meters to Square Feet (Sq M to Sq Ft) - Convert Square Meters to Square Feet
- Gravel Calculator - Area to cubic yards, tons and coverage
- Topsoil Calculator - Cubic yards, weight and coverage for any area
- Multiplication Facts - Any two numbers from 1 to 9, with the working shown
Geometry Formulas: Area, Volume, Perimeter
These are the formulas for the area, perimeter, circumference, volume and surface area of the standard shapes — 31 of them. Each page shows not only the formula but where it comes from, what every letter stands for, two worked examples and the mistake that this particular shape invites. For example, it can help you find out what is the formula for the volume of a cube? (The answer is: V = a³). Pick the pair — "Area of a circle", for instance — and hit the "Find out" button.
Geometry Formulas: Area, Volume, Perimeter
Values from the Formula
| If a = | Volume |
|---|---|
| 1 | 1 cubic unit |
| 2 | 8 cubic units |
| 3 | 27 cubic units |
| 4 | 64 cubic units |
| 5 | 125 cubic units |
| 10 | 1,000 cubic units |
FAQ
What is the formula for the volume of a cube?
Volume of a cube V = a³
Where does this formula come from?
Fill the cube with unit cubes: a along each edge, so a · a · a of them. It is the rectangular prism with all three edges equal.
What is the most common mistake here?
Writing 3a instead of a³. Tripling an edge is not cubing it: for a = 4 the volume is 64, not 12.
How do I use this formula?
Put your own numbers in place of the letters. With a = 2.5, for instance, the formula V = a³ gives ≈ 15.63 cubic units.
See Also
- Perimeter of a Square Formula
- Perimeter of a Triangle Formula
- Surface Area of a Cone Formula
- Surface Area of a Cube Formula
- Surface Area of a Cylinder Formula
- Surface Area of a Pyramid Formula
- Surface Area of a Rectangular Prism Formula
- Surface Area of a Sphere Formula
- Surface Area of a Triangular Prism Formula
- Volume of a Cone Formula
- Volume of a Cylinder Formula
- Volume of a Pyramid Formula
- Volume of a Rectangular Prism Formula
- Volume of a Sphere Formula
- Volume of a Triangular Prism Formula
- Объём куба
- Volumen del cubo
- Volume do cubo