13. GEOMETRY The volume of a cube is $V=s^3$, where $s$ is the length of one side. Which expression represents the volume of the cube?
Answer (1)
The volume of a cube is given by V = s 3 , where s is the side length.
The problem asks for the expression representing the volume.
The expression representing the volume of the cube is s 3 .
Therefore, the answer is s 3 .
Explanation
Problem Analysis The problem states that the volume of a cube is given by the formula V = s 3 , where s is the length of one side. We need to identify the expression that represents the volume of the cube.
Identifying the Expression Since the volume V of a cube with side length s is given by V = s 3 , the expression representing the volume of the cube is simply s 3 .
Final Answer Therefore, the expression that represents the volume of the cube is s 3 .
Examples
Imagine you're building a Rubik's Cube. If each small cube has a side length of 's', then the volume of each small cube is s^3. Knowing this helps you calculate the total material needed to build the entire Rubik's Cube, which is made up of many such smaller cubes. This concept is also useful in architecture when designing cubic structures, allowing you to quickly determine the volume of space enclosed.
