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
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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
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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 |
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