Calculating the volume of polynomials involves the standard equation for solving volumes, and basic algebraic arithmetic involving the first outer inner last (FOIL) method.
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Write down the basic volume formula, which is volume=lengthwidthheight.

Plug the polynomials into the volume formula.
Example: (3x+2)(x+3)(3x^22)

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^22)*(3x^2+11x+6)
Becomes: (9x^4+33x^3+18x^26x^222x12) 
Combine the like terms. The result is the volume of the polynomials.
Example: (9x^4+33x^3+18x^26x^222x12)
Becomes: Volume= (9x^4+33x^3+12x^222x12)
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