\(\sf~SA=2(wl+hl+hw)\)
Plug in what we know:
\(\sf~SA=2((4\dfrac{5}{6})(18\dfrac{1}{2})+(5\dfrac{1}{3})(18\dfrac{1}{2})+(5\dfrac{1}{3})(4\dfrac{5}{6}))\)
Multiply:
\(\sf~SA=2((89\dfrac{5}{12})+(98\dfrac{2}{3})+(25\dfrac{7}{9})\)
Add:
\(\sf~SA=\boxed{\sf213\dfrac{31}{36}}\)