Cuboid Edge Length Problem: Finding Relationships When Edge = Base + 5

To determine the volume of the cuboid, we need to follow these steps:

• Step 1: Determine the area of the square base. Since the base is square with each side measuring $X$, the area of the base is $X^2$.
• Step 2: Identify the height of the cuboid. The height is given as $X + 5$.
• Step 3: Use the volume formula for a cube, $V = \text{base area} \times \text{height}$.

Let's execute these steps:
Step 1: The square base area is $X^2$.
Step 2: The height of the cuboid, as given, is $X + 5$.
Step 3: Plugging these into the volume formula gives $V = X^2 \times (X + 5) = X^2(X + 5)$.

Thus, the expression for the volume of the cuboid is $V = X^2(X + 5)$.

This matches the provided choice, confirming that the correct answer is $\boxed{V = X^2(X+5)}$.