What is surface area? Surface area is literally the
area of all of the surfaces of a three dimensional object.
When you wrap a present, the amount of wrapping paper you use is the surface area of the present.
When you paint the walls in your house, the area you cover with paint is the surface area of the wall.
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One way to find surface area… Since surface area is finding the
area of each surface, that is what we are going to do!Area of surface 1:
A = 5 x 2 = 10 ft2
Area of surface 2:A = 5 x 2 = 10 ft2
Area of surface 3:A = 4 x 2 = 8 ft2
Area of surface 4:A = 4 x 2 = 8 ft2
Area of surface 5:A = 5 x 4 = 20 ft2
Area of surface 6:A = 5 x 4 = 20 ft2
4 ft
5 ft
2 ft
2 ft5 ft
4 ft
2 ft
5 ft
4 ft
Now just add all of the areas together to get the TOTAL surface area.
Total Surface Area = 76 ft2
Triangular Prism Let’s do the same process
but with a triangular prism.Area of surface 1:
A = (3 x 4) ÷ 2 = 6 ft2
Area of surface 2:A = (3 x 4) ÷ 2 = 6 ft2
Area of surface 3:A = 10 x 5 = 50 ft2
Area of surface 4:A = 10 x 4 = 40ft2
Area of surface 5:A = 10 x 3 = 30ft2
Animated Triangular
Prism
3 ft
4 ft
5 ft
10 ft
Now just add all of the areas together to get the TOTAL surface area.
Total Surface Area = 132 ft2
3 ft
4 ft10 ft
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