Calculate the Volume of a Cube with 4cm Side Length

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what a cube is

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.

Importance of finding the volume of a cube

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.

Statement of the problem: finding the volume of a cube with a side length of 4cm

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.

Formula for calculating the volume of a cube

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.

Definition of the variables in the formula

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.

Method for solving the problem

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.

Conclusion

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.