Answer:
The surface area of the triangular prism is [tex]145.3[/tex] [tex]ft^2[/tex]
Step-by-step explanation:
Step 1: Finding the two area of two triangles
Area of the triangle = [tex]\frac{1}{2} (base \times height})[/tex]
Area of the triangle = [tex]\frac{1}{2} (9.8\times 5.33})[/tex]
Area of the triangle = 26.117
Area of 2 triangles = [tex]52.234[/tex]
Step 2: Finding the area of the side rectangles
Area of the rectangle = [tex]length \times breadth[/tex]
Area of the rectangle 1 = [tex]6.2 \times 3.8[/tex] = 23.56 [tex]ft^2[/tex]
Area of the rectangle 2 = [tex]8.5 \times 3.8[/tex] = 32.3 [tex]ft^2[/tex]
Area of the rectangle 3 = [tex]9.8 \times 3.8[/tex] = 37.24 [tex]ft^2[/tex]
Step 3: surface area of the triangular prism.
Surface area of the triangular prism = 52.234 + 23.56 + 32.3 + 37.24
Surface area of the triangular prism = 145.334 [tex]ft^2[/tex]
