Final answer:
To find the value of x, we can set up an equation using the given options for the formula of the volume. Solving the equation, we find that x = 8.
Step-by-step explanation:
To determine the value of x, we need to use the formula for the volume of a rectangular prism, which is length x width x height. Let's assume the length is L, the width is W, and the height is H. From the given options, the correct formula for finding the volume would be (x - 2) x (x) x (x + 4). We can set up an equation using this formula: (x - 2)(x)(x + 4) = 240.
Simplifying this equation, we have x^3 + 2x^2 - 8x - 480 = 0.
To solve this equation, we can use factoring, the quadratic formula, or graphing the equation. After solving the equation, we find that x = 8.