Answer: 480 in²
Explanation:
 To calculate the surface area, we will find the area of each side and add it together.
Area of the rectangular sides can be found with A = LW:
 A = LW
 A = (12 in)(10 in)
 A = 120 in²
 A = LW
 A = (12 in)(10 in)
 A = 120 in²
 A = LW
 A = (12 in)(12 in)
 A = 144 in²
All the rectangular sides added together:
 120 in² + 120 in² + 144 in² = 384 in²
 Now, we will find the triangle sides. The formula for a triangle is 
, but since we have two congruent triangles I will not be dividing by 2.
 A = BH
 A = (12 in)(8 in)
 A = 96 in²
Lastly, I will add them both together:
384 in² + 96 in² = 480 in²