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