The answer is 488 in ^ 2:
Base= 8 x 8 = 64
Face 1= 8 x 8 = 64
Face 2= 9 x 8 = 72
Face 3= 12 x 8 = 96
For the sides, split the shape into 2: a square and a triangle and calculate separately, then add them up.
Side 1= 8 x 4 = 64
12-8 = 4
4 x 8 = 32
Repeat once more then add up all the results
SA= 32 + 32 + 64 + 64 + 64 + 64 + 72 + 96
= 488
