Therefore, the product of the dimensions is \(oxed4\).Question: Let $ f(x) $ be a polynomial such that $ f(1) = 3 $, $ f(2) = 8 $, $ f(3) = 15 $, and $ f(4) = 24 $. Find $ f(5) $, given that $ f(x) $ models the total number of pollen grains collected at day $ x $ in a reconstructed palynological dataset, assuming the growth pattern follows a cubic trend. - Crosslake