To calculate the volume of a cube, follow these simple steps:
1. Key Property of a Cube
All edges (sides) of a cube are equal in length. Let this length be denoted as ( s ).
2. Volume Formula
The volume ( V ) of a cube is the product of its three equal edges, or equivalently, the cube of its side length:
[ V = s^3 = s \times s \times s ]
3. Example Calculation
If the side length of a cube is ( 5 \, \text{cm} ):
[ V = (5 \, \text{cm})^3 = 5 \times 5 \times5 = 125 \, \text{cm}^3 ]
4. Units
Volume is expressed in cubic units (e.g., ( \text{cm}^3 ), ( \text{m}^3 ), ( \text{in}^3 )) matching the unit of the side length.
Final Answer: The volume of a cube is given by ( V = s^3 ), where ( s ) is the length of its side. For example, a cube with side ( 5 \, \text{cm} ) has volume ( 125 \, \text{cm}^3 ).
(\boxed{V = s^3}) (general formula)
Or for a specific side length (e.g., ( s=5 )): (\boxed{125}) (with appropriate units).
If no specific side is provided, the formula itself is the core answer: (\boxed{V = s^3}).
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