What Does Cubed Mean in Math?
The raising of a quantity to the third power
When a number is cubed, it means that the number is repeated three times in a multiplication. For example:
- 2\(^{3}\) = 2 × 2 × 2
- 4\(^{3}\) = 4 × 4 × 4
We say "2 cubed" or "4 cubed."
Or we can say that we are “raising 2 to the power of 3,” or “4 to the power of 3.”
Why "cubed"?
The term comes from geometry. If you build a cube with sides that are 3 units long, the volume of the cube is 3 × 3 × 3 = 27 cubic units. That’s why raising something to the third power is called “cubing.”
We use cubed numbers in:
- Volume calculations
- Algebraic expressions
- Scientific and real-world formulas
When Do Students Learn About Cubed Numbers?
Grades 5–6 – Introduction to Cubed Numbers
Students begin learning about volume and are introduced to cubing as repeated multiplication.
Grades 7+ – Cubed Numbers in Algebra and Geometry
Students use cubed numbers in formulas, functions, and word problems involving volume and powers.
