you find the area of each face and add them all together
the front facing square is 8 by 8
so 8 8 = 64
and on the back of it there is a opposite but same square
so 64 + 64 so far
then the left facing rectangle is 8 by 16
8 16 = 128
and the top facing rectangle is the same size
so we have in total 64+64+128+128 sofar
then here's a little confusing...
the bottom facing we can consider to be a square of (8+8) by 16
so (8+8) 16 = 256
so we now have 64+64+128+128+256
the surface area of a cylinder (which is what the rounded part is)
is 2(area of circle) + (circumference of circle)(height)
= 2(pi 8 8) + (16 pi)*(16) = 384 pi
then divide this number by 4 because we have only a fourth of the full cylinder
384 pi / 4 = 96pi
that gives us a total of
64+64+128+128+256+96pi
= 640 + 96pi
= 941.59 (if using "real" pi) = 942
or
941.44 (if using "3.14" pi) = 941 <- answer
