A rectangular prism has a volume x^3 + 5x^2 + 6x, what expressions can represent the dimensions of the rectangular prism

V = x^3 + 5x^2 + 6x = x * (x^2 + 5x + 6);

But, x^2 + 5x + 6 = x^2 + 2x + 3x + 6 = x (x + 2) + 3 (x + 2) = (x + 2) (x + 3);

Then, V = x^3 + 5x^2 + 6x = x (x + 2) (x + 3);

Rectangular prism has three dimensions: width, height and base (or length);

V = w * b * h;

Finally, x, x + 2 and x + 3 represent the dimensions of the rectangular prism.