Answer: Surface area = 336 ft^2
Explanation:
To calculate the surface area of the given figure, we would find the area of each face of the figure. Looking at the figure, it has
2 triangular faces
one small rectangular face
2 rectangular faces at the top and base
Considering the triangular faces, the formula for calculating the area of a triangle is expressed as
Area = 1/2 x base x height
base = 8
height = 6
Area of 2 triangles = 2 x 1/2 x 8 x 6 = 48
Considering the small rectangle,
length = 12
width = 6
Area of small rectangle = 12 x 6 = 72
Considering the rectangle at the top,
length = 12
width = 10
Area of rectangle at the top = x 12 x 10 = 120
Considering the bigger rectangle at the base,
length = 12
width = 8
Area of rectangle at the top = 12 x 8 = 96
Thus,
Surface area = 48 + 72 + 120 + 96 =
Surface area = 336 ft^2
