if a cube has a side length of 5 units, what is its volume?
If a cube has a side length of 5 units, what is its volume?
Answer:
To find the volume of a cube, you can use the formula:
\text{Volume (V)} = \text{side length}^3
In this case, the side length of the cube is 5 units. So, you can substitute this value into the formula:
V = 5^3
Calculating 5^3 involves multiplying the side length by itself three times:
5^3 = 5 \times 5 \times 5 = 125
Therefore, the volume of the cube is 125 cubic units. The calculation can be broken down as follows:
- Multiply 5 by 5 to get 25.
- Multiply 25 by 5 to get 125.
Hence, the cube with a side length of 5 units has a volume of 125 cubic units.
This simple calculation demonstrates one of the fundamental attributes of cubes, wherein all sides are equal and the volume can be determined by cubing the side length. Cubing essentially means raising the side length to the third power. This process is integral to understanding three-dimensional space in geometry.
Moreover, knowing how to calculate the volume of a cube has practical applications in fields like architecture, engineering, and even computer graphics, where understanding space and volume is important. If you have any further questions about cubes or other geometric shapes, don’t hesitate to ask!