the surface area of any solids are just the areas of all their sides added up.
so for this figure, we would have the surface area be:
2((6 * 8) / 2) + 7 * 10 + 7 * 6 + 7 * 8 = 6 * 8 + 7 * 10 + 7 * 6 + 7 * 8 = 48 + 70 + 42 + 56 = 216.
hope this helped! please let me know if i am incorrect, as i wasn't too sure on some of the areas. sorry if my explanations weren't too good. feel free to ask any follow-up questions :)