Calculating the volume of a cube is a straightforward process that involves understanding the relationship between the cube's side length and its volume. This article will guide you through the steps to find the volume of a cube using the appropriate formula. We'll explain the formula, show an example, and provide the final value.
Understanding the Volume Formula
The volume (V) of a cube can be calculated using the following algebraic formula:
\[ V = a^3 \]
Where:
- \( a \) is the length of one side of the cube.
Explanation of the Formula
- The term \( a^3 \) represents the cube of the side length. This means that the volume is found by multiplying the side length by itself three times.
Step-by-Step Calculation
Let's calculate the volume of a cube with a given side length.
Example: Calculating the Volume of a Cube
1. Identify the given value:
- Side length of the cube (\( a \)) = 4 units
2. Substitute the value into the volume formula:
\[ V = a^3 \]
\[ V = 4^3 \]
3. Calculate the volume:
\[ 4^3 = 4 \times 4 \times 4 = 64 \]
Final Value
The volume of a cube with a side length of 4 units is 64 cubic units.
