Final answer:
The surface area of the L-shaped composite figure formed by two rectangular prisms is 800 cm².
Step-by-step explanation:
The surface area of the figure can be found by adding up the areas of all the rectangular faces. In this case, we have two rectangular prisms. The first prism has dimensions of 14 cm (length) x 4 cm (width) x 8 cm (height). The second prism has dimensions of 20 cm (length) x 4 cm (width) x 8 cm (height).
To find the surface area, we need to find the area of each face and then add them up. For the first prism, the faces are:
- Front face: 4 cm x 8 cm = 32 cm²
- Back face: 4 cm x 8 cm = 32 cm²
- Top face: 14 cm x 8 cm = 112 cm²
- Bottom face: 14 cm x 8 cm = 112 cm²
- Left face: 14 cm x 4 cm = 56 cm²
- Right face: 14 cm x 4 cm = 56 cm²
Adding up all the areas gives us a total surface area of 400 cm² for the first prism. Using the same process, we can find the surface area of the second prism. Adding both surface areas together, we get a total surface area of 800 cm² for the L-shaped composite figure.