Write down the basic volume formula, which is volume=length*width*height.
Plug the polynomials into the volume formula.
Example: (3x+2)*(x+3)*(3x^2-2)
Utilize the first outer inner last (FOIL) method to multiply the first two equations. Further explanation of the FOIL method is found in the references section.
Example: (3x+2)*(x+3)
Becomes: (3x^2+11x+6)
Multiply the last given equation (which you did not foil), by the new equation attained by foiling. Further explanation of basic polynomial multiplication is found in the references section.
Example: (3x^2-2)*(3x^2+11x+6)
Becomes: (9x^4+33x^3+18x^2-6x^2-22x-12)
Combine the like terms. The result is the volume of the polynomials.
Example: (9x^4+33x^3+18x^2-6x^2-22x-12)
Becomes: Volume= (9x^4+33x^3+12x^2-22x-12)