What is the volume of a cube with each side measuring 5 meters?

To determine the volume of a cube, you use the formula ( V = s^3 ), where ( s ) is the length of one side of the cube. In this case, each side of the cube measures 5 meters.

Calculating the volume involves raising the side length to the power of three:

[

V = 5 , \text{m} \times 5 , \text{m} \times 5 , \text{m} = 125 , \text{cubic meters}

]

This calculation shows that the volume is indeed 125 cubic meters. The volume reflects the amount of space occupied by the cube, which is determined by multiplying the length, width, and height of the cube—all of which are equal in the case of a cube.

The application of the cubic volume formula confirms that the correct answer is based on this fundamental geometric principle.