Volume of a Cube
The volume of a cube.
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Example
A cube of side 4: V = 4³ = 64 cubic units.
How it works
A cube has three equal dimensions: length, width, and height, and each one is the same edge length a. The volume counts how many unit cubes fit inside it, so you multiply a by a by a, giving a^3. This works because volume is measured in cubic units, which build up in three perpendicular directions.
When to use it
Use this formula when you know the side length of a cube and need its interior space. It appears in geometry problems, packaging and container design, and any measurement involving cube-shaped objects.
Worked example, step by step
A cube has edge length 6 cm. V = a^3 V = 6^3 V = 6 × 6 × 6 V = 216 So the volume is 216 cm^3.
Common mistakes to avoid
- Using 2a or 3a instead of cubing the edge length
- Forgetting to write cubic units such as cm^3 or m^3
- Mixing up edge length with surface area and using the wrong formula
Did You Know?
Doubling a cube's side multiplies its volume by eight — the ancient "doubling the cube" problem is impossible with compass and straightedge.
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