The total surface area of the tent can be determined by calculating the areas of the triangular and rectangular faces and summing them up
1 Identify the faces of the triangular prism:
Two triangular faces with base 4ft, height 4.75ft, and one side 5ft.
Three rectangular faces with dimensions 4ft x 8ft, 4ft x 5ft, and 8ft x 5ft.
2 Calculate the area of each face:
Triangular faces: (1/2) x base x height.
Rectangular faces: Length x Width.
3 Add the areas of all faces to find the total surface area
Triangular faces:
Area = (1/2) x 4ft x 4.75ft = 9.5 sq ft each
Total area for both triangular faces = 2 x 9.5 sq ft = 19 sq ft
Rectangular faces:
Area = 4ft x 8ft = 32 sq ft (for one face)
Area = 4ft x 5ft = 20 sq ft (for one face)
Area = 8ft x 5ft = 40 sq ft (for one face)
Total area for all three rectangular faces = 32 sq ft + 20 sq ft + 40 sq ft = 92 sq ft
4 Add the areas of all faces to find the total surface area:
Total surface area = 19 sq ft (triangular faces) + 92 sq ft (rectangular faces) = 111 sq ft
Therefore, the total surface area of the tent is 111 square feet.