Surface Area of Composite 3D Figures Quick Check
4 of 53 of 5 Items
4 ft
4 ft
5 ft
10 ft
10 ft
To find the surface area of a composite figure, we need to find the surface areas of each individual shape and then add them together.
First, let's find the surface area of the rectangular prism with dimensions 4 ft x 4 ft x 5 ft:
Surface area of a rectangular prism = 2lw + 2lh + 2wh
Surface area = 2(4)(4) + 2(4)(5) + 2(4)(5)
Surface area = 32 + 40 + 40
Surface area = 112 square feet
Next, let's find the surface area of the rectangular prism with dimensions 10 ft x 10 ft x 5 ft:
Surface area = 2(10)(10) + 2(10)(5) + 2(10)(5)
Surface area = 200 + 100 + 100
Surface area = 400 square feet
Now, let's add the surface areas of both shapes together:
Total surface area = 112 + 400
Total surface area = 512 square feet
Therefore, the surface area of the composite figure is 512 square feet.