Final answer:
To find the maximum volume of a rectangular prism, multiply the correct base area polynomial by the height. The given base area polynomial appears to contain a typo, preventing an accurate calculation. Ensure the correct polynomial is provided to apply the volume formula V = Ah.
Step-by-step explanation:
To maximize the volume of a rectangular prism given the base area and the height, we simply need to multiply these two quantities together as per the formula V = Ah, where V is volume, A is the area of the base, and h is the height of the prism. Given a base area expressed by the polynomial 36 + 15x^3x^2 (assuming the correct polynomial is 36 + 15x^5, since the original appears to have a typo), and a height of 20x^90, the volume is calculated by multiplying the base area polynomial with the height.
This would yield a volume polynomial which then can be simplified. However, since the base area polynomial, as given, contains a typo, an accurate volume cannot be calculated. Nonetheless, the general approach remains the same, and once the correct polynomial is provided, the student can find the volume by applying the mentioned formula.