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A cube is a three-dimensional solid object with six equal square faces. Each face of the cube is identical in shape and size, and each face is perpendicular to the adjacent faces. Cubes are commonly used in real-world applications, such as building blocks and storage containers.

The volume of a cube is a useful measurement for calculating the amount of space inside the cube. It is often used in real-world situations, such as measuring the capacity of a box or the amount of water that can be held in a container. Knowing the volume of a cube can also be useful in geometry and engineering applications.

The problem statement involves finding the volume of a cube with a side length of 4cm. The statement provides the necessary information to solve the problem and allows us to apply the appropriate formula.

**Explanation of the formula:** V = s^3

The volume of a cube is calculated using the formula **V = s^3**, where **V** is the **volume** and **s** is the **length** of one side of the cube. The formula is derived using geometric principles and the properties of cubes. The formula applies to all cubes, regardless of their size or orientation.

The variable **V** represents the volume of the cube and is measured in cubic units, such as **cm^3** or **m^3**. The variable s represents the length of one side of the cube and is measured in units such as cm, m, or ft. It is important to use the correct units for each variable when using the formula.

To find the volume of a cube with a side length of **4cm**, we will use the formula **V = s^3**, where s = **4cm**. We will substitute **4cm** for **s** in the formula and solve for **V**.

V = s^3

V = 4cm^3

V = 64cm^3

Therefore, the volume of the cube with a side length of **4cm** is **64cm^3**.

Finding the volume of a cube is a useful calculation in many real-world applications, as well as in geometry and engineering. Using the formula **V = s^3**, we were able to find the volume of a cube with a side length of **4cm to be 64cm^3**. It is important to use the correct units for each variable in the formula to obtain the correct answer.

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