Answer: 360 square inches
Work Shown:
A = area of bottom rectangular face = 10*5 = 50
B = area of back rectangular face = 12*10 = 120
C = area of slanted front rectangular face = 13*10 = 130
D = area of left triangle = 0.5*base*height = 0.5*5*12 = 30
E = area of triangle on right = 0.5*base*height = 0.5*5*12 = 30
S = total surface area
S = A+B+C+D+E
S = 50+120+130+30+30
S = 360