Answer
Step-by-step Explanation
The total surface area of any structure is given simply as the sum of each of the faces of the structure.
This structure is a triangular prism with the following faces
- Two similar triangular faces with base 6ft. and height 5.2 ft.
- Two similar rectanglular faces on the sides with length 8ft. and width 6 ft.
- One rectangular face on the floor with length 8 ft. and width 6 ft.
The area of a triangle = ½ BH
where B = Base of the triangle = 6 ft.
H = Height of the triangle = 5.2 ft.
Area of each of the triangles = ½ × 6 × 5.2 = 15.6 ft²
Area of the two triangles = 2 × 15.6 = 31.2 ft²
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