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A nonagonal prism has two nonagonal bases and rectangular lateral faces. To find the total number of diagonals in a nonagonal prism, we first calculate the diagonals in one nonagon, which is given by the formula ( \frac{n(n-3)}{2} ). For a nonagon ((n = 9)), this results in 27 diagonals. Since the prism has two bases, the total number of diagonals in the prism is ( 27 + 27 + 18 = 72 ), where the 18 comes from the diagonals connecting vertices from one base to the other.

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