To find the volume of the cube, we will use the formula:

$V = s^3$

where:

• $V$ is the volume of the cube.
• $s$ is the length of a side of the cube.

Given that $s = 4$ inches, we can substitute this value into the formula:

$V = 4^3 = 4 \times 4 \times 4 = 64 \, \text{cubic inches}$

So, the volume of the cube is 64 cubic inches.

Would you like further clarification or help with another problem? Here are a few related questions to explore:

1. How do you calculate the surface area of a cube?
2. What would the volume be if the side length was doubled to 8 inches?
3. How is the volume formula for a cube derived from the formula for the volume of a rectangular prism?
4. If a cube has a volume of 125 cubic inches, what is the length of each side?
5. Can the formula for the volume of a cube be applied to other shapes? Why or why not?

Tip: To verify your calculations for the volume of a cube, always check if the side length is correctly cubed and double-check units for consistency.