The problem on the screen describes a cube with side length $s$, and states that the volume of the cube is given by the formula:

$V = s^3$

In the specific case given, the cube has side lengths of 8 inches. To find the volume, we substitute $s = 8$ into the formula:

$V = 8^3 = 8 \times 8 \times 8 = 512 \, \text{cubic inches}$

So, the volume of the cube is 512 cubic inches.

Would you like further details or have any questions about this solution?

Here are 5 related questions to deepen your understanding:

1. What is the formula for the surface area of a cube?
2. How does the volume of a cube change if the side length is doubled?
3. What would the volume be if the side length were 10 inches?
4. Can the formula for the volume of a cube be applied to other shapes, such as a rectangular prism?
5. How would you convert the volume from cubic inches to cubic centimeters?

Tip: Always ensure the units of measurement for all dimensions are the same before calculating volume or area.